Boundary value problem forp−Laplacian Caputo fractional difference equations with fractional sum boundary conditions

DOI10.1002/mma.3586zbMath1336.39001OpenAlexW1605510038MaRDI QIDQ2804399

Thanin Sitthiwirattham

Publication date: 29 April 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3586

zbMATH Keywords

existencefixed point theoremsboundary value problemfractional difference equation

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) General theory of difference equations (39A05)

Related Items

Existence and multiplicity of positive solutions to a system of fractional difference equations with parameters ⋮ On nonlocal fractional sum-difference boundary value problems for Caputo fractional functional difference equations with delay ⋮ Ulam-Hyers-Rassias stability and existence of solutions to nonlinear fractional difference equations with multipoint summation boundary condition ⋮ Positive solutions of three-point fractional sum boundary value problem for Caputo fractional difference equations via an argument with a shift ⋮ On nonlinear fractional sum-difference equations via fractional sum boundary conditions involving different orders ⋮ Unnamed Item ⋮ Existence results of initial value problems for hybrid fractional sum-difference equations ⋮ Existence of positive solution to a coupled system of singular fractional difference equations via fractional sum boundary value conditions ⋮ On positive solutions to fractional sum boundary value problems for nonlinear fractional difference equations ⋮ Positive solutions for a class of fractional difference boundary value problems ⋮ POSITIVE SOLUTIONS FOR A NONLINEAR DISCRETE FRACTIONAL BOUNDARY VALUE PROBLEM WITH A <inline-formula><tex-math id="M1">$ P $</tex-math></inline-formula>-LAPLACIAN OPERATOR ⋮ On positive solution to multi-point fractional h-sum eigenvalue problems for caputo fractional h-difference equations ⋮ On a coupled system of fractional sum-difference equations with \(p\)-Laplacian operator ⋮ Existence results of fractional delta-nabla difference equations via mixed boundary conditions

Cites Work

• Unnamed Item
• Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions
• On Riemann and Caputo fractional differences
• Boundary value problems for fractional difference equations with three-point fractional sum boundary conditions
• Existence of solutions for discrete fractional boundary value problems with a \(p\)-Laplacian operator
• The existence and uniqueness of solutions to boundary value problems of fractional difference equations
• Caputo type fractional differential equations with nonlocal Riemann-Liouville integral boundary conditions
• On a discrete fractional three-point boundary value problem
• Two-point boundary value problems for finite fractional difference equations
• 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
• Existence and uniqueness of solution to some discrete fractional boundary value problems of order less than one