Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations

From MaRDI portal
Publication:1772765

DOI10.1016/j.fss.2004.08.001zbMath1061.26024OpenAlexW2070545443MaRDI QIDQ1772765

Barnabás Bede, Sorin Gheorghe Gal

Publication date: 21 April 2005

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2004.08.001




Related Items

Fractional relaxation-oscillation differential equations via fuzzy variational iteration methodImpulsive hybrid interval-valued functional integro-differential equationsQuasi type 2 fuzzy differential equationsFuzzy Laplace transform method for the Ulam stability of linear fuzzy differential equations of first order with constant coefficientsEXISTENCE CRITERIA FOR THE UNIQUE SOLUTION OF FIRST ORDER LINEAR FUZZY DIFFERENTIAL EQUATIONS ON THE SPACE OF LINEARLY CORRELATED FUZZY NUMBERSNew optimality conditions for multiobjective fuzzy programming problemsOptimal control of linear fuzzy time-variant controlled systemsApplications of generalized fixed points theorems to the existence of uncertain differential equations with finite delayOn Goursat problem for fuzzy random partial differential equations under generalized Lipschitz conditionsUnnamed ItemFirst order linear fuzzy differential equations with fuzzy variable coefficientsAn efficient analytical-numerical technique for handling model of fuzzy differential equations of fractional-orderAn estimation of the solution of hybrid fuzzy differential equationsOn the properties of fuzzy differential equations under cross operationsSolutions of higher order linear fuzzy differential equations with interactive fuzzy valuesFuzzy fractional differential equations with the generalized Atangana-Baleanu fractional derivativeFuzzy differential equations with Riemann-Liouville generalized fractional integrable impulsesCalculus for linearly correlated fuzzy number-valued functionsFirst-order linear fuzzy differential equations on the space of linearly correlated fuzzy numbersOptimality conditions for fuzzy optimization in several variables under generalized differentiabilitySensitivity of option prices via fuzzy Malliavin calculusComparison between the linearly correlated difference and the generalized Hukuhara difference of fuzzy numbersA straightforward approach for solving dual fuzzy linear systemsCalculus for fuzzy functions with strongly linearly independent fuzzy coefficientsNew metric-based derivatives for fuzzy functions and some of their propertiesSome notes on the switching points for the generalized Hukuhara differentiability of interval-valued functionsSuboptimal control of linear fuzzy systemsState feedback control for fractional differential equation system in the space of linearly correlated fuzzy numbersNew differentiability concepts for set-valued functions and applications to set differential equationsAddition and subtraction of interactive fuzzy numbers via family of joint possibility distributionsFractional calculus of linear correlated fuzzy-valued functions related to Fréchet differentiabilityHyers-Ulam stability of fuzzy fractional Volterra integral equations with the kernel \(\psi\)-function via successive approximation methodWell-posedness and stability for fuzzy fractional differential equationsA NOVEL NUMERICAL METHOD FOR SOLVING FUZZY VARIABLE-ORDER DIFFERENTIAL EQUATIONS WITH MITTAG-LEFFLER KERNELSStability result for fractional fuzzy neutral integro-differential equationsInterval variational inequalities and their relationship with interval optimization problemsA multi-step method to solve bipolar-fuzzy initial value problemFuzzy Fractional Equation with Derivative of Atangana-Baleanu and Fuzzy SemigroupLyapunov stability of fuzzy dynamical systems based on fuzzy-number-valued function granular differentiabilityAdaptation of kernel functions‐based approach with Atangana–Baleanu–Caputo distributed order derivative for solutions of fuzzy fractional Volterra and Fredholm integrodifferential equationsReproducing kernel approach for numerical solutions of fuzzy fractional initial value problems under the Mittag–Leffler kernel differential operatorA fuzzy solution of wave equation by <scp>FFS‐transform</scp>\(L\)-fuzzy fixed point results in \(\mathcal{F}\)-metric spaces with applications\(\mathrm{Z}^+\)-Laplace transforms and \(\mathrm{Z}^+\)-differential equations of the arbitrary-order, theory and applicationsA modified reproducing Kernel Hilbert space method for solving fuzzy fractional integro-differential equationsSynchronization of fuzzy-chaotic systems with Z-controller in secure communicationDiscrete fractional calculus for fuzzy-number-valued functions and some results on initial value problems for fuzzy fractional difference equationsGENERAL SOLUTION OF BASSET EQUATION WITH CAPUTO GENERALIZED HUKUHARA DERIVATIVEUnnamed ItemUnnamed ItemUnnamed ItemUnnamed ItemUnnamed ItemUnnamed ItemRunge-Kutta method of order four for solving fuzzy delay differential equations under generalized differentiabilityUnnamed ItemUnnamed ItemUnnamed ItemUnnamed ItemUnnamed ItemModified Adomian Decomposition Method for Solving Fuzzy Volterra-Fredholm Integral EquationSolving fuzzy fractional differential equations using fuzzy Sumudu transformA study on the differential and sub-differential of fuzzy mapping and its application problemA version of the Stone-Weierstrass theorem in fuzzy analysisUnnamed ItemNumerical solution of Abel's general fuzzy linear integral equations by fractional calculus methodOn the existence of generalized weak solutions to discontinuous fuzzy differential equationsUnnamed ItemSolution of Fuzzy Heat Equation Under Fuzzified Thermal DiffusivityAsymptotic solutions of fractional interval differential equations with nonsingular kernel derivativeNotes on fuzzy fractional Sumudu transformUnnamed ItemThe Generalized Solution for Initial Problems of Fuzzy Discontinuous Differential EquationsToward the existence and uniqueness of solutions for fractional integro-differential equations under uncertaintyFuzzy Noise-Induced Codimension-Two Bifurcations Captured by Fuzzy Generalized Cell Mapping with Adaptive InterpolationUnnamed ItemSOLVING THE FUZZY INITIAL VALUE PROBLEM WITH NEGATIVE COEFFICIENT BY USING FUZZY LAPLACE TRANSFORMSome results on the fundamental concepts of fuzzy set theory in intuitionistic fuzzy environment by using α and β cutsOn interval-valued invex mappings and optimality conditions for interval-valued optimization problemsAsymptotic behavior of \(C^0\)-solutions of evolution equations with uncertaintiesOn fuzzy improper integral and its application for fuzzy partial differential equationsComplete controllability of fuzzy fractional evolutions equation under Fréchet derivative in linear correlated fuzzy spacesAn estimation of the solution of first order fuzzy differential equationsSingle level constraint interval arithmeticSolution of linear differential equations with fuzzy boundary valuesGeneralized fuzzy differentiability with LU-parametric representationInterval-valued functional differential equations under dissipative conditionsPeriodic boundary value problems for impulsive fuzzy differential equationsMonotone method for fuzzy differential equationsExistence and uniqueness of solutions to the second order fuzzy dynamic equations on time scalesOn analytical solutions of the fractional differential equation with uncertainty: application to the Basset problemNonlinear fuzzy differential equation with time delay and optimal control problemThe Cauchy type problem for interval-valued fractional differential equations with the Riemann-Liouville gH-fractional derivativeExistence and uniqueness results for fractional differential equations with uncertaintyKKT optimality conditions in interval valued multiobjective programming with generalized differentiable functionsSolution of fuzzy differential equations using fuzzy Sumudu transformsDifferent solution strategies for solving epidemic model in imprecise environmentGlobal existence of solutions for interval-valued second-order differential equations under generalized Hukuhara derivativeNumerical solution of first-order linear differential equations in fuzzy environment by Runge-Kutta-Fehlberg method and its applicationCalculus of fuzzy functions on time scales. ISolving fuzzy differential equations based on the length function propertiesA new study on first-order fuzzy Fredholm-Volterra integro-differential equations by Jacobi polynomials and collocation methodsComputational optimization of residual power series algorithm for certain classes of fuzzy fractional differential equationsA new approach for solving a class of fuzzy optimal control systems under generalized Hukuhara differentiabilityOn solutions to set-valued and fuzzy stochastic differential equationsFuzzy bang-bang control problem under granular differentiabilityFuzzy stochastic differential equations driven by semimartingales-different approachesExistence, uniqueness, and characterization theorems for nonlinear fuzzy integrodifferential equations of Volterra typeOn fuzzy portfolio selection problems: a parametric representation approachMethods in ranking fuzzy numbers: a unified index and comparative reviewsOn the Ulam stability of first order linear fuzzy differential equations under generalized differentiabilityFirst order linear fuzzy differential equations under generalized differentiabilityOn the existence of solutions to periodic boundary value problems for fuzzy linear differential equationsCalculus for interval-valued functions using generalized Hukuhara derivative and applicationsGlobal existence of solutions for fuzzy second-order differential equations under generalized \(H\)-differentiabilitySymmetric fuzzy numbers and additive equivalence of fuzzy numbersA new approach to fuzzy initial value problemA Schauder fixed point theorem in semilinear spaces and applicationsLaplace transform formula on fuzzy \(n\)th-order derivative and its application in fuzzy ordinary differential equationsSolving nonlinear fuzzy differential equations by using fuzzy variational iteration methodThe use of airfoil and Chebyshev polynomials methods for solving fuzzy Fredholm integro-differential equations with Cauchy kernelThe middle-parametric representation of fuzzy numbers and applications to fuzzy interpolationExistence of global solutions to nonlinear fuzzy Volterra integro-differential equationsRandom fuzzy differential equations under generalized Lipschitz conditionEuler method for solving hybrid fuzzy differential equationOn the topological equivalence of some fuzzy flows near hyperbolic equilibriaSolving hybrid fuzzy differential equations by Chebyshev waveletVariation of constant formula for first order fuzzy differential equationsFuzzy transforms of higher order approximate derivatives: A theoremSolving fuzzy fractional differential equations by fuzzy Laplace transformsNumerical solutions for linear system of first-order fuzzy differential equations with fuzzy constant coefficientsA new method for solving fuzzy linear differential equationsSome topological properties of solutions to fuzzy differential systemsFuzzy logic-based generalized decision theory with imperfect informationAn eigenvalue-eigenvector method for solving a system of fractional differential equations with uncertaintyNumerical solution of second-order fuzzy differential equation using improved Runge-Kutta Nyström methodOn new solutions of fuzzy differential equationsGlobal existence of solutions for interval-valued integro-differential equations under generalized \(H\)-differentiabilityControllability of second-order semilinear fuzzy integrodifferential control systems with nonlocal initial conditionsOstrowski type inequalities and applications in numerical integration for interval-valued functionsOn the existence and uniqueness of solutions for fuzzy fractional differential equationsGlobal solutions of fuzzy integro-differential equations under generalized differentiability by the method of upper and lower solutionsA boundary value problem for second order fuzzy differential equationsOn fuzzy solutions for heat equation based on generalized Hukuhara differentiabilityExistence of solutions to fuzzy differential equations with generalized Hukuhara derivative via contractive-like mapping principlesRandom fuzzy fractional integral equations -- theoretical foundationsFractional calculus for interval-valued functionsFuzzy differential equation with completely correlated parametersThird-order three-point fuzzy boundary value problemsA generalization of Hukuhara difference and division for interval and fuzzy arithmeticGeneralized derivative and \(\pi \)-derivative for set-valued functionsSolutions of fuzzy differential equations based on generalized differentiabilityExistence theorems for solutions to random fuzzy differential equationsSystem of differential equation with initial value as triangular intuitionistic fuzzy number and its applicationSolution of second order linear fuzzy ordinary differential equation by Lagrange multiplier method with application in mechanicsA quasi-Newton method with rank-two update to solve fuzzy optimization problemsRunge-Kutta method for solving fuzzy differential equations under generalized differentiabilitySome integral inequalities for interval-valued functionsFuzzy delay differential equations under generalized differentiabilityA new method for solving differential equations with vague parametersExistence of local and global solutions of fuzzy delay differential inclusionsSheaf fuzzy problems for functional differential equationsSolving second-order fuzzy differential equations by the fuzzy Laplace transform methodOn the solutions for box differential equations under generalized Hukuhara derivativeToward the existence and uniqueness of solutions of second-order fuzzy differential equationsInitial value problem for fuzzy differential equations under dissipative conditionsSolving fuzzy differential equations by differential transformation methodGeneralized Hukuhara differentiability of interval-valued functions and interval differential equationsNew results on multiple solutions for \(N\)th-order fuzzy differential equations under generalized differentiabilityNumerical solution of fuzzy differential equations under generalized differentiabilityComparation between some approaches to solve fuzzy differential equationsThe controlled convergence theorems for the strong Henstock integrals of fuzzy-number-valued functionsOn a class of fuzzy functional differential equationsNotes on fuzzy complex analysisOn the stability of fuzzy linear dynamical systemsSome solving methods for a fuzzy multi-point boundary value problemOn the initial value problem for fuzzy differential equations of non-integer order \(\alpha \in (1,2)\)On random fuzzy differential equationsComplete controllability for a class of fractional evolution equations with uncertaintyOn the fuzzy fractional differential equation with interval Atangana-Baleanu fractional derivative approachSpline collocation methods for systems of fuzzy fractional differential equationsStudy of hybrid orthonormal functions method for solving second kind fuzzy Fredholm integral equationsOn the linear fuzzy model associated with Caputo-Fabrizio operatorExistence and uniqueness solutions of fuzzy integration-differential mathematical problem by using the concept of generalized differentiabilitySome fuzzy-interval integral inequalities for harmonically convex fuzzy-interval-valued functionsFuzzy-interval inequalities for generalized preinvex fuzzy interval valued functionsFuzzy fractional differential equations under the Mittag-Leffler kernel differential operator of the ABC approach: theorems and applicationsAn efficient numerical method for solving \(m\)-polar fuzzy initial value problemsNew Hermite-Hadamard inequalities in fuzzy-interval fractional calculus via exponentially convex fuzzy interval-valued functionA fuzzy generalized power series method under generalized Hukuhara differentiability for solving fuzzy Legendre differential equationFuzzy conformable fractional differential equations: novel extended approach and new numerical solutionsFuzzy fractional functional integral and differential equationsOn fuzzy generalized convex mappings and optimality conditions for fuzzy weakly univex mappingsA note on the generalized difference and the generalized differentiabilityOn the Newton method for solving fuzzy optimization problemsA new fuzzy approximation method to Cauchy problems by fuzzy transformCharacterizations of generalized differentiable fuzzy functionsRelationship between Bede-Gal differentiable set-valued functions and their associated support functionsOn fuzzy differential equations in the quotient space of fuzzy numbersIll-posed fuzzy initial-boundary value problems based on generalized differentiability and regularizationOn the solutions to first order linear fuzzy differential equationsNecessary and sufficient conditions for fuzzy optimality problemsExact solution to the periodic boundary value problem for a first-order linear fuzzy differential equation with impulsesExplicit solutions of fractional differential equations with uncertaintyA Jacobi operational matrix for solving a fuzzy linear fractional differential equationA novel approach to approximate fractional derivative with uncertain conditionsControlled convergence theorems for infinite dimension Henstock integrals of fuzzy valued functions based on weak equi-integrabilityNumerical solutions of fuzzy differential equations by an efficient Runge-Kutta method with generalized differentiabilityA parametrized sum of fuzzy numbers with applications to fuzzy initial value problemsCubic interpolation: a line search technique for fuzzy optimization problemsInterval Abel integral equationA reproducing kernel method for solving nonlocal fractional boundary value problems with uncertaintyApplication of reproducing kernel algorithm for solving second-order, two-point fuzzy boundary value problemsNewton method for solving the multi-variable fuzzy optimization problemApplications of fuzzy Laplace transformsInterval-valued functional integro-differential equationsRandom fuzzy differential equations with impulsesSolvability and stability of impulsive set dynamic equations on time scalesApproximating the solution of the linear and nonlinear fuzzy Volterra integrodifferential equations using expansion methodFuzzy integral equations and strong fuzzy Henstock integralsA survey on fuzzy fractional differential and optimal control nonlocal evolution equationsGeneralized convexity in fuzzy vector optimization through a linear orderingHyers-Ulam-Rassias stability of first order linear partial fuzzy differential equations under generalized differentiabilityThe initial value problem for interval-valued second-order differential equations under generalized H-differentiabilitySolution method for a boundary value problem with fuzzy forcing functionOptimality conditions for generalized differentiable interval-valued functionsOn periodic solutions to first order linear fuzzy differential equations under differential inclusions' approachHomotopy analysis method for fuzzy Boussinesq equationAlmost periodicity of set-valued functions and set dynamic equations on time scalesContinuous solutions to a class of first-order fuzzy differential equations with discontinuous coefficientsThe Cauchy problem of fuzzy differential equations under generalized differentiabilityOscillation property for fuzzy delay differential equationsOn invex fuzzy mappings and fuzzy variational-like inequalitiesInterval Cauchy problem with a second type Hukuhara derivativeApproximate solution of fuzzy differential equations under generalized differentiabilityFuzzy differential equations with interactive derivativeA fuzzy solution of heat equation under generalized Hukuhara differentiability by fuzzy Fourier transformAn operational matrix based on Legendre polynomials for solving fuzzy fractional-order differential equationsOn solutions of linear fractional differential equations with uncertaintyOstrowski-type inequalities for fuzzy-valued functions and its applications in quadrature theorySolving interactive fuzzy initial value problem via fuzzy Laplace transformCriterion for generalized weakly fuzzy invex monotonocitiesA study of the impact of underground economy on integral tax burden in the proportional growth model under uncertaintyQuadratic interpolation technique to minimize univariable fuzzy functionsDiscussion on proportional harvesting model in fuzzy environment: fuzzy differential equation approachOn strongly generalized preinvex fuzzy mappingsWirtinger-type integral inequalities for interval-valued functionsOn the solutions of first-order linear impulsive fuzzy differential equationsUlam type stability of first-order linear impulsive fuzzy differential equationsA survey on the initial value problems of fuzzy implicit fractional differential equationsInterval optimal control for uncertain problemsA numerical method to solve a fuzzy differential equation via differential inclusionsA new derivative concept for set-valued and fuzzy-valued functions. Differential and integral calculus in quasilinear metric spacesOptimality conditions of type KKT for optimization problem with interval-valued objective function via generalized derivativeThe Karush-Kuhn-Tucker optimality conditions for fuzzy optimization problemsA foundation on semigroups of operators defined on the set of triangular fuzzy numbers and its application to fuzzy fractional evolution equationsOn the fuzzy Poisson equationA new approach to linear interval differential equations as a first step toward solving fuzzy differentialCompleteness, metrizability and compactness in spaces of fuzzy-number-valued functionsInitial value problem for second-order random fuzzy differential equationsMultiple solutions of ordinary differential systems with min-max terms and applications to the fuzzy differential equationsFuzzy differential equation with nonlocal conditions and fuzzy semigroupProperties of interval-valued function space under the gH-difference and their application to semi-linear interval differential equationsSolving a nonhomogeneous linear system of interval differential equationsBanach spaces generated by strongly linearly independent fuzzy numbersImpulsive coupled system of fractional differential equations with Caputo-Katugampola fuzzy fractional derivativeConditions for the existence of basic solutions of linear multivalued differential equationsContinuous dependence of fuzzy mild solutions on parameters for IVP of fractional fuzzy evolution equationsStudy of fuzzy fractional nonlinear equal width equation in the sense of novel operatorSolution to the Bessel differential equation with interactive fuzzy boundary conditionsExistence and uniqueness for fuzzy differential equation with Hilfer-Katugampola fractional derivativeLocal and global existence and uniqueness of solution for class of fuzzy fractional functional evolution equationInitial value problems in type-2 fuzzy environmentA new Jacobi tau method for fuzzy fractional Fredholm nonlinear integro-differential equationsGeneralized Hukuhara-Clarke derivative of interval-valued functions and its propertiesModeling the linear drag on falling balls via interactive fuzzy initial value problemComparison of fuzzy Adomian decomposition method with fuzzy VIM for solving fuzzy heat-like and wave-like equations with variable coefficientsControllability of Sobolev type fuzzy differential equation with non-instantaneous impulsive conditionStable equilibrium configuration of two bar truss by an efficient nonmonotone global Barzilai-Borwein gradient method in a fuzzy environmentFuzzy differential equations and the extension principleSolving fuzzy fractional differential equations by a generalized differential transform methodFuzzy Laplace transformsApplications of contractive-like mapping principles to fuzzy fractional integral equations with the kernel \(\psi \)-functionsAnalytical fuzzy triangular solutions of the wave equationSolving fuzzy \((1+ n)\)-dimensional Burgers' equationOn the semigroup approach to the interval-valued differential evolution equationsGeneralized Hukuhara Gâteaux and Fréchet derivatives of interval-valued functions and their application in optimization with interval-valued functionsAn equivalence lemma for a class of fuzzy implicit integro-differential equationsComments on ``A novel approach to approximate fractional derivative with uncertain conditionsGeneralized differentiability and integrability for fuzzy set-valued functions on time scalesNumerical solutions of fuzzy differential equations using reproducing kernel Hilbert space methodA numerical method for solving first-order fully fuzzy differential equation under strongly generalized H-differentiabilityAn extension of the Carathéodory differentiability to set-valued mapsA modified Euler method for solving fuzzy differential equations under generalized differentiabilityNotes on local and nonlocal intuitionistic fuzzy fractional boundary value problems with Caputo fractional derivativesOn fuzzy Volterra-Fredholm integrodifferential equation associated with Hilfer-generalized proportional fractional derivativeGeneral forms of solutions for linear impulsive fuzzy dynamic equations on time scalesThree-step averaging scheme for set-valued differential equations with generalized derivativeAlmost periodic fuzzy multidimensional dynamic systems and applications on time scalesPractical stability of fuzzy differential equations with the second type of Hukuhara derivativeThe Cauchy problem for quaternion fuzzy fractional differential equationsSolution of initial-value problem for linear third-order fuzzy differential equationsMulti-step \(gh\)-difference-based methods for fuzzy differential equationsExistence of fuzzy fractional stochastic differential system with impulsesFuzzy fixed point results in \(\mathcal{F}\)-metric spaces with applicationsA study of some properties of fuzzy Laplace transform with their applications in solving the second-order fuzzy linear partial differential equationsFourth Order Runge-Kutta Method for Solving First-order Fully Fuzzy Differential Equations Under Strongly Generalized H-differentiabilityAn Allee threshold model for a Glioblastoma (GB)-immune system (IS) interaction with fuzzy initial valuesHukuhara difference of Z-numbersImportant notes for a fuzzy boundary value problem\(M\)-fractional derivative under interval uncertainty: theory, properties and applicationsAnalysis on determining the solution of fourth-order fuzzy initial value problem with Laplace operatorFuzzy optimal harvesting of a prey-predator model in the presence of toxicity with prey refuge under imprecise parametersA perturbed collage theorem and its application to inverse interval integral problemsA note on generalized convexity for fuzzy mappings through a linear orderingAnalytical and numerical solutions of fuzzy differential equationsOn linear fuzzy differential equations by differential inclusions' approachA new membership function approach to uncertain functionsA fixed point approach to the Ulam stability of fuzzy differential equations under generalized differentiabilityTwo-point boundary value problems for first-order nonlinear fuzzy differential equation1Existence of extremal solutions for interval-valued functional integro-differential equationsA full fuzzy method for solving differential equation based on Taylor expansionThe fuzzy dynamic programming problemsMonotone iterative method for boundary value problems of fuzzy differential equations1A STUDY OF BIFURCATION OF PREY–PREDATOR MODEL WITH TIME DELAY AND HARVESTING USING FUZZY PARAMETERSThe Cauchy problems for discontinuous fuzzy systems under generalized differentiabilityOn generalized solutions for discontinuous fuzzy differential equations and strong fuzzy Henstock integralsINVENTORY MODEL WITH DEMAND AS TYPE-2 FUZZY NUMBER: A FUZZY DIFFERENTIAL EQUATION APPROACHFUZZY INCLUSION LINEAR SYSTEMSOn interactive fuzzy solutions for mechanical vibration problemsHomotopy analysis Shehu transform method for solving fuzzy differential equations of fractional and integer order derivativesA Runge-Kutta numerical method to approximate the solution of bipolar fuzzy initial value problemsError estimation in the approximation of the solution of nonlinear fuzzy Fredholm integral equationsComparison results for fuzzy differential equationsOn fuzzy boundary value problemsFuzzy approximate solutions of second-order fuzzy linear boundary value problemsConditions for the existence of local solutions of set-valued differential equations with generalized derivativeA note on ``Two-point boundary value problems associated with non-linear fuzzy differential equationsArtificial neural network approach for solving fuzzy differential equationsA survey on fuzzy fractional variational problemsApplication of fuzzy Picard method for solving fuzzy quadratic Riccati and fuzzy Painlevé I equations\(q\)-fractional differential equations with uncertaintyA new efficient method using Fibonacci polynomials for solving of first-order fuzzy Fredholm-Volterra integro-differential equationsDifferentiability of type-2 fuzzy number-valued functionsType-2 fuzzy fractional derivativesA new gH-difference for multi-dimensional convex sets and convex fuzzy setsSOME FUNDAMENTAL RESULTS ON FUZZY CALCULUSAn analytical numerical method for solving fuzzy fractional Volterra integro-differential equationsExistence-uniqueness of solutions for fuzzy nabla initial value problems on time scalesOn fuzzy type-1 and type-2 stochastic ordinary and partial differential equations and numerical solutionA semianalytical method for fuzzy integro-differential equations under generalized Seikkala derivativeApplication of fuzzy fractional kinetic equations to modelling of the acid hydrolysis reactionConstructive existence of (1,1)-solutions to two-point value problems for fuzzy linear multiterm fractional differential equationsFuzzy solution of homogeneous heat equation having solution in Fourier series formExistence and continuous dependence on initial data of solution for initial value problem of fuzzy multiterm fractional differential equationApproximate solution of time-fractional fuzzy partial differential equationsFuzzy delay differential equations under granular differentiability with applicationsUnnamed ItemUnnamed ItemUlam-Hyers stability and Ulam-Hyers-Rassias stability for fuzzy integrodifferential equationUnnamed ItemUnnamed ItemFuzzy Laplace transform based on the Henstock integral and its applications in discontinuous fuzzy systemsOpial-type inequalities for interval-valued functionsKarush-Kuhn-Tucker conditions for interval and fuzzy optimization in several variables under total and directional generalized differentiabilityOptimality conditions for fuzzy constrained programming problemsMinimum stability control problem and time-optimal control problem for fuzzy linear control systemsCalculus of fuzzy vector-valued functions and almost periodic fuzzy vector-valued functions on time scalesFuzzy fractional differential equations under Caputo-Katugampola fractional derivative approachDifferential calculus of fuzzy multi-variable functions and its applications to fuzzy partial differential equationsOn retarded fuzzy functional differential equations and nonabsolute fuzzy integralsAn existence and uniqueness result for fuzzy Goursat partial differential equationFuzzy Volterra integro-differential equations using general linear methodLINEAR FIRST-ORDER FUZZY DIFFERENTIAL EQUATIONSExistence of solutions for implicit fuzzy differential inclusionsA new approach for the optimal fuzzy linear time invariant controlled system with fuzzy coefficientsExistence and uniqueness results for fuzzy linear differential-algebraic equationsAlgebraic properties and topological properties of the quotient space of fuzzy numbers based on Mareš equivalence relation



Cites Work