Positive solutions of three-point fractional sum boundary value problem for Caputo fractional difference equations via an argument with a shift

DOI10.1007/s11117-015-0391-zzbMath1362.39012OpenAlexW2268038885MaRDI QIDQ346416

Thanin Sitthiwirattham, Jiraporn Reunsumrit

Publication date: 29 November 2016

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-015-0391-z

zbMATH Keywords

positive solutionboundary value problemGuo-Krasnoselskii fixed point theoremfractional difference equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Fractional ordinary differential equations (34A08) Growth, boundedness, comparison of solutions to difference equations (39A22)

Related Items (13)

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 ⋮ Unnamed Item ⋮ On the existence of three positive solutions for a Caputo fractional difference equation ⋮ 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 ⋮ Positive solutions for a class of fractional difference boundary value problems ⋮ Existence and uniqueness of solutions for a first-order discrete fractional boundary value problem ⋮ Positive solutions for a class of fractional difference systems with coupled boundary conditions ⋮ 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

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• Existence and uniqueness of solutions of sequential nonlinear fractional difference equations with three‐point fractional sum boundary 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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