On a coupled system of fractional sum-difference equations with \(p\)-Laplacian operator

DOI10.1186/S13662-020-02826-3zbMath1485.39013OpenAlexW3043600465MaRDI QIDQ2114235

Thanin Sitthiwirattham, Saowaluck Chasreechai, Pimchana Siricharuanun

Publication date: 15 March 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02826-3

zbMATH Keywords

\(p\)-Laplacian operatorboundary value problemexistence and uniquenesscoupled system of fractional difference equations

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Difference equations, scaling ((q)-differences) (39A13) Fractional ordinary differential equations (34A08) Boundary value problems for difference equations (39A27)

Related Items (2)

Existence and multiplicity of positive solutions to a system of fractional difference equations with parameters ⋮ Existence, uniqueness and Ulam stability results for a mixed-type fractional differential equations with p-Laplacian operator

Cites Work

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• Existence criterion for the solutions of fractional order \(p\)-Laplacian boundary value problems
• Positive solutions of three-point fractional sum boundary value problem for Caputo fractional difference equations via an argument with a shift
• The existence of solutions to a system of discrete fractional boundary value problems
• Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions
• Existence of a positive solution to a system of discrete fractional boundary value problems
• On Riemann and Caputo fractional differences
• Chaos synchronization of fractional chaotic maps based on the stability condition
• On nonlocal fractional sum-difference boundary value problems for Caputo fractional functional difference equations with delay
• Multiple positive solutions for a coupled system of fractional multi-point BVP with \(p\)-Laplacian operator
• Solutions for a fractional difference boundary value problem
• Boundary value problems for fractional difference equations with three-point fractional sum boundary conditions
• On nonlinear fractional sum-difference equations via fractional sum boundary conditions involving different orders
• Existence theorems and Hyers-Ulam stability for a coupled system of fractional differential equations with \(p\)-Laplacian operator
• Positive solutions for a system of nonlinear fractional nonlocal boundary value problems with parameters and \(p\)-Laplacian operator
• Existence of solutions for discrete fractional boundary value problems with a \(p\)-Laplacian operator
• Hyers-Ulam stability and existence criteria for coupled fractional differential equations involving \(p\)-Laplacian operator
• Nonlinear discrete fractional mixed type sum-difference equation boundary value problems in Banach spaces
• Existence results of initial value problems for hybrid fractional sum-difference equations
• Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions
• Positive solutions to boundary value problems of fractional difference equation with nonlocal conditions
• Multiple positive solutions for a coupled system of \(p\)-Laplacian fractional order three-point boundary value problems
• Existence and Hyers-Ulam stability for a nonlinear singular fractional differential equations with Mittag-Leffler kernel
• A singular ABC-fractional differential equation with \(p\)-Laplacian operator
• The difference between a class of discrete fractional and integer order boundary value problems
• Existence results for fractional difference equations with three-point fractional sum boundary conditions
• Solvability for discrete fractional boundary value problems with a \(p\)-Laplacian operator
• Coupled systems of boundary value problems with nonlocal boundary conditions
• Two monotonicity results for nabla and delta fractional differences
• Existence results for a coupled system of fractional differential equations with \(p\)-Laplacian operator and infinite-point boundary conditions
• Discrete fractional logistic map and its chaos
• Boundary value problem forp−Laplacian Caputo fractional difference equations with fractional sum boundary conditions
• On a discrete fractional three-point boundary value problem
• Systems of semipositone discrete fractional boundary value problems
• Two-point boundary value problems for finite fractional difference equations
• Sum and Difference Compositions in Discrete Fractional Calculus
• Discrete Fractional Calculus
• Existence and uniqueness of solutions of sequential nonlinear fractional difference equations with three‐point fractional sum boundary conditions
• Initial value problems in discrete fractional calculus
• Analysis of positive solution and Hyers‐Ulam stability for a class of singular fractional differential equations with p‐Laplacian in Banach space
• EXISTENCE THEOREMS AND HYERS-ULAM STABILITY FOR A CLASS OF HYBRID FRACTIONAL DIFFERENTIAL EQUATIONS WITH P -LAPLACIAN OPERATOR
• Convexity for nabla and delta fractional differences
• Systems of discrete fractional boundary value problems with nonlinearities satisfying no growth conditions
• Existence and uniqueness of solution to some discrete fractional boundary value problems of order less than one
• On positive solutions to fractional sum boundary value problems for nonlinear fractional difference equations

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