On the fractional differential equations with uncertainty
From MaRDI portal
Publication:540254
DOI10.1016/J.NA.2011.02.048zbMath1219.34004OpenAlexW2055257218MaRDI QIDQ540254
Sadia Arshad, Vasile Lupulescu
Publication date: 1 June 2011
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2011.02.048
Related Items (69)
Fractional relaxation-oscillation differential equations via fuzzy variational iteration method ⋮ Spline collocation methods for systems of fuzzy fractional differential equations ⋮ On the linear fuzzy model associated with Caputo-Fabrizio operator ⋮ Representation of solution of initial value problem for fuzzy linear multi-term fractional differential equation with continuous variable coefficient ⋮ On Z-fractional differential equations ⋮ Generalized fuzzy Euler-Lagrange equations and transversality conditions ⋮ Fuzzy fractional differential equations under the Mittag-Leffler kernel differential operator of the ABC approach: theorems and applications ⋮ The Cauchy type problem for interval-valued fractional differential equations with the Riemann-Liouville gH-fractional derivative ⋮ Uncertain fractional differential equations and an interest rate model ⋮ Applications of contractive-like mapping principles to fuzzy fractional integral equations with the kernel \(\psi \)-functions ⋮ Notes on local and nonlocal intuitionistic fuzzy fractional boundary value problems with Caputo fractional derivatives ⋮ Uncertain fractional evolution equations with non-Lipschitz conditions using the condensing mapping approach ⋮ Particular solution of linear sequential fractional differential equation with constant coefficients by inverse fractional differential operators ⋮ Approximate solution for a fuzzy fractional multi-term differential equation by Müntz polynomials ⋮ A necessary condition of Pontryagin type for fuzzy fractional optimal control problems ⋮ Novel evaluation of fuzzy fractional Cauchy reaction-diffusion equation ⋮ The variational iteration method for fuzzy fractional differential equations with uncertainty ⋮ Applications of contractive-like mapping principles to interval-valued fractional integro-differential equations ⋮ Explicit solutions of fractional differential equations with uncertainty ⋮ A Schauder fixed point theorem in semilinear spaces and applications ⋮ Fuzzy fractional diffusion processes and drug release ⋮ Ulam stability for fractional partial integro-differential equation with uncertainty ⋮ Fuzzy fractional initial value problem ⋮ Existence and uniqueness of solutions for random fuzzy fractional integral and differential equations ⋮ Uncertain dynamic responses of fuzzy fractionally damped spring-mass system ⋮ Stability result for fractional fuzzy neutral integro-differential equations ⋮ Existence of global solutions to nonlinear fuzzy Volterra integro-differential equations ⋮ Notes on the Existence Results for Nonlinear Fractional Differential Equations with Fuzzy Boundary Conditions ⋮ Random fuzzy differential equations under generalized Lipschitz condition ⋮ Interval Abel integral equation ⋮ A reproducing kernel method for solving nonlocal fractional boundary value problems with uncertainty ⋮ Solving fuzzy fractional differential equations by fuzzy Laplace transforms ⋮ GENERAL SOLUTION OF BASSET EQUATION WITH CAPUTO GENERALIZED HUKUHARA DERIVATIVE ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Interval-valued functional integro-differential equations ⋮ Existence of extremal solutions for interval-valued functional integro-differential equations ⋮ Fuzzy control for uncertainty nonlinear systems with dual fuzzy equations ⋮ On solvability of some nonlinear fractional interval integral equations ⋮ A new technique to solve the initial value problems for fractional fuzzy delay differential equations ⋮ An eigenvalue-eigenvector method for solving a system of fractional differential equations with uncertainty ⋮ Approximate solutions of fuzzy differential equations of fractional order using modified reproducing kernel Hilbert space method ⋮ Solving fuzzy fractional differential equations using fuzzy Sumudu transform ⋮ On the existence and uniqueness results for fuzzy linear and semilinear fractional evolution equations involving Caputo fractional derivative ⋮ A note on the stability analysis of fuzzy nonlinear fractional differential equations involving the Caputo fractional derivative ⋮ A survey on fuzzy fractional differential and optimal control nonlocal evolution equations ⋮ On the existence and uniqueness for high order fuzzy fractional differential equations with uncertainty ⋮ On fuzzy fractional Laplace transformation ⋮ Random fuzzy fractional integral equations -- theoretical foundations ⋮ Fractional calculus for interval-valued functions ⋮ The Cauchy problem of fuzzy differential equations under generalized differentiability ⋮ The solvability of fuzzy fractional partial differential equations under Caputo gH-differentiability ⋮ Unnamed Item ⋮ Schauder fixed-point theorem in semilinear spaces and its application to fractional differential equations with uncertainty ⋮ Unnamed Item ⋮ Adaptive consensus control of fractional multi-agent systems by distributed event-triggered strategy ⋮ Fuzzy conformable fractional semigroups of operators ⋮ Fuzzy conformable fractional differential equations ⋮ Asymptotic solutions of fractional interval differential equations with nonsingular kernel derivative ⋮ Solving fuzzy Volterra integrodifferential equations of fractional order by Bernoulli wavelet method ⋮ Fuzzy fractional evolution equations and fuzzy solution operators ⋮ A survey on fuzzy fractional variational problems ⋮ Similarity solutions of fractional parabolic boundary value problems with uncertainty ⋮ Continuous dependence of fuzzy mild solutions on parameters for IVP of fractional fuzzy evolution equations ⋮ Existence and continuous dependence on initial data of solution for initial value problem of fuzzy multiterm fractional differential equation ⋮ Uncertain fractional differential equations on a time scale under granular differentiability concept ⋮ A new Jacobi tau method for fuzzy fractional Fredholm nonlinear integro-differential equations ⋮ Fuzzy fractional integral equations under compactness type condition ⋮ Results on initial value problems for random fuzzy fractional functional differential equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On Peano theorem for fuzzy differential equations
- Adaptive fuzzy tracking control for the chaotic permanent magnet synchronous motor drive system via backstepping
- Periodic problems of first order uncertain dynamical systems
- Differentials of fuzzy functions
- On the concept of solution for fractional differential equations with uncertainty
- Fractional differential equations as alternative models to nonlinear differential equations
- Nagumo-type uniqueness result for fractional differential equations
- Basic theory of fractional differential equations
- General uniqueness and monotone iterative technique for fractional differential equations
- Theory of fractional functional differential equations
- A boundary value problem for second order fuzzy differential equations
- A class of linear differential dynamical systems with fuzzy matrices
- Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions
- Maximum principles for fractional differential equations derived from Mittag-Leffler functions
- Monotone iterative method for initial value problem involving Riemann-Liouville fractional derivatives
- Existence of periodic solution for a nonlinear fractional differential equation
- On a class of fuzzy functional differential equations
- On the fuzzy initial value problem
- Towards fuzzy differential calculus. I: Integration of fuzzy mappings
- Towards fuzzy differential calculus. II: Integration on fuzzy intervals
- Towards fuzzy differential calculus. III: Differentiation
- Existence and uniqueness for a nonlinear fractional differential equation
- Almost automorphic mild solutions to fractional differential equations
- Some new existence results for fractional differential inclusions with boundary conditions
- A note on fuzzy differential equations
- Fuzzy random variables
- Analysis of fractional differential equations
This page was built for publication: On the fractional differential equations with uncertainty
