Positive solutions for a class of higher order boundary value problems with fractional \(q\)-derivatives

From MaRDI portal
Publication:440942

DOI10.1016/j.amc.2012.03.006zbMath1254.34010OpenAlexW2089122373MaRDI QIDQ440942

John R. Graef, Lingju Kong

Publication date: 19 August 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.03.006




Related Items (71)

\(Iq\)-calculus and \(Iq\)-Hermite-Hadamard inequalities for interval-valued functionsPositive solutions for nonlinear Caputo type fractional \(q\)-difference equations with integral boundary conditionsNew applications of the variational iteration method -- from differential equations to \(q\)-fractional difference equationsPositive solutions for nonlinear semipositone fractional \(q\)-difference system with coupled integral boundary conditionsFractional \(q\)-difference hybrid equations and inclusions with Dirichlet boundary conditionsExistence and uniqueness results for \(q\)-fractional difference equations with \(p\)-Laplacian operatorsApplication of the fixed point theorems on the existence of solutions for \(q\)-fractional boundary value problemsPositive solutions for singular coupled integral boundary value problems of nonlinear higher-order fractional \(q\)-difference equationsMonotone iterative method for nonlinear fractional \(q\)-difference equations with integral boundary conditionsNew fixed point theorems on order intervals and their applicationsMonotone iterative technique for a nonlinear fractional \(q\)-difference equation of Caputo typeExistence and uniqueness of nontrivial solution for nonlinear fractional multi-point boundary value problem with a parameterA novel fractional structure of a multi-order quantum multi-integro-differential problemExistence results for impulsive fractional \(q\)-difference equations with anti-periodic boundary conditionsEXISTENCE RESULTS FOR A COUPLED SYSTEM OF NONLINEAR FRACTIONAL q-INTEGRO-DIFFERENCE EQUATIONS WITH q-INTEGRAL-COUPLED BOUNDARY CONDITIONSExistence of solutions for nonlinear fractional \(q\)-difference inclusions with nonlocal Robin (separated) conditionsApplication of some special operators on the analysis of a new generalized fractional Navier problem in the context of \(q\)-calculusSome analytical and numerical results for a fractional \(q\)-differential inclusion problem with double integral boundary conditionsSystems of semipositone discrete fractional boundary value problemsImpulsively hybrid fractional quantum Langevin equation with boundary conditions involving Caputo \(q_k\)-fractional derivativesExistence results to positive solutions of fractional BVP with \(q\)-derivativesExistence of solutions for nonlinear fractional \(q\)-difference integral equations with two fractional orders and nonlocal four-point boundary conditionsTwin iterative positive solutions of fractional \(q\)-difference Schrödinger equationsInvestigation of hybrid fractional \(q\)-integro-difference equations supplemented with nonlocal \(q\)-integral boundary conditionsOn a \(q\)-fractional variant of nonlinear Langevin equation of different ordersExistence results for fractional \(q\)-difference equations with nonlocal \(q\)-integral boundary conditionsOn two structures of the fractional q‐sequential integro‐differential boundary value problemsNonlinear multi-term impulsive fractional \(q\)-difference equations with closed boundary conditionsOn nonlocal fractional \(q\)-integral boundary value problems of fractional \(q\)-difference and fractional \(q\)-integrodifference equations involving different numbers of order and \(q\)Multiple positive solutions of a singular semipositone integral boundary value problem for fractional \(q\)-derivatives equationExistence results for fractional order differential equation with nonlocal Erdélyi-Kober and generalized Riemann-Liouville type integral boundary conditions at resonanceExistence and uniqueness results to positive solutions of integral boundary value problem for fractional \(q\)-derivativesUnnamed ItemMulti-strip fractional \(q\)-integral boundary value problems for nonlinear fractional \(q\)-difference equationsSolvability of a class of higher-order fractional two-point boundary value problemExistence theory for \(q\)-antiperiodic boundary value problems of sequential \(q\)-fractional integrodifferential equationsUniqueness and existence of solution for a system of fractional \(q\)-difference equationsExistence of solutions for fractional \(q\)-integrodifference equations with nonlocal fractional \(q\)-integral conditionsPositive solutions for a class of singular boundary value problems with fractional \(q\)-difference equationsUnnamed ItemImpulsive fractional \(q\)-integro-difference equations with separated boundary conditionsPositive solutions for boundary value problems of fractional differential equation with integral boundary conditionsA study of nonlinear fractional \(q\)-difference equations with nonlocal integral boundary conditionsExistence and multiplicity of positive solutions for nonhomogeneous boundary value problems with fractional \(q\)-derivativesUpper and lower estimates of the positive solutions of a higher order boundary value problemMonotone iterative schemes for positive solutions of a fractional \(q\)-difference equation with integral boundary conditions on the half-lineA coupled system of fractional \(q\)-integro-difference equations with nonlocal fractional \(q\)-integral boundary conditionsExistence of extremal solutions for a nonlinear fractional \(q\)-difference systemExistence of solutions for fractional \(q\)-integro-difference inclusions with fractional \(q\)-integral boundary conditionsSurvey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutionsNonlocal boundary value problems for impulsive fractional \(q_{k}\)-difference equationsPositive solutions of nonlinear boundary value problems for delayed fractional \(q\)-difference systemsExistence results for fractional \(q\)-difference equations of order \(\alpha\in2,3[\) with three-point boundary conditions] ⋮ Positive solutions for a singular coupled system of nonlinear higher-order fractional q-difference boundary value problems with two parametersPositive solutions of nonlocal boundary value problem for high-order nonlinear fractional \(q\)-difference equationsOn a fractional cantilever beam model in the q-difference inclusion settings via special multi-valued operatorsExistence of positive solutions to multi-point third order problems with sign changing nonlinearities\(\alpha\)-\(\psi\)-contractions and solutions of a \(q\)-fractional differential inclusion with three-point boundary value conditions via computational resultsPositive solutions for a class of fractional boundary value problem with \(q\)-derivativesQuantum Hermite-Hadamard inequalities for double integral and q-differentiable convex functionsAn existence study on the fractional coupled nonlinear \(q\)-difference systems via quantum operators along with Ulam-Hyers and Ulam-Hyers-Rassias stabilitySystems of discrete fractional boundary value problems with nonlinearities satisfying no growth conditionsSUCCESSIVE ITERATIONS FOR UNIQUE POSITIVE SOLUTION OF A NONLINEAR FRACTIONAL Q-INTEGRAL BOUNDARY VALUE PROBLEMWeak solutions for Caputo-Pettis fractional q-difference inclusionsExistence of positive solutions to a higher order singular boundary value problem with fractional \(q\)-derivativesOn semipositone discrete fractional boundary value problems with non-local boundary conditionsBoundary value problems of fractional \(q\)-difference equations on the half-lineWeak solutions for nonlinear fractional differential equation with fractional separated boundary conditions in Banach spacesExistence of solutions for nonlinear fractional \(q\)-difference equations with Riemann-Liouville type \(q\)-derivativesIntegral inequalities via fractional quantum calculusPositive solution for \(q\)-fractional four-point boundary value problems with \(p\)-Laplacian operator



Cites Work


This page was built for publication: Positive solutions for a class of higher order boundary value problems with fractional \(q\)-derivatives