The existence of solutions to a class of boundary value problems with fractional difference equations

DOI10.1186/1687-1847-2013-275zbMath1375.39019OpenAlexW2156118659WikidataQ59300722 ScholiaQ59300722MaRDI QIDQ1682366

Yuanyuan Pan, Chuanxia Hou, Shurong Sun, Zhenlai Han

Publication date: 30 November 2017

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

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-275

zbMATH Keywords

eigenvalueboundary value problemfixed point theoremexistence of solutionuniqueness of solutiondiscrete fractional equation

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Fractional ordinary differential equations (34A08)

Related Items (6)

Solvability for a discrete fractional mixed type sum-difference equation boundary value problem in a Banach space ⋮ Nonlinear discrete fractional mixed type sum-difference equation boundary value problems in Banach spaces ⋮ Existence and uniqueness of solutions for a discrete fractional mixed type sum-difference equation boundary value problem ⋮ Discrete Mittag-Leffler kernel type fractional difference initial value problems and Gronwall's inequality ⋮ Stability analysis of Caputo-like discrete fractional systems ⋮ Discrete fractional order two-point boundary value problem with some relevant physical applications

Cites Work

• Unnamed Item
• Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions
• Positive solutions for a class of boundary value problems with fractional \(q\)-differences
• Discrete-time fractional variational problems
• Existence of a positive solution to a system of discrete fractional boundary value problems
• Positive solutions to boundary value problems of nonlinear fractional differential equations
• On discrete sequential fractional boundary value problems
• Theory of fractional hybrid differential equations
• Nonlocal Cauchy problem for fractional evolution equations
• Continuity of solutions to discrete fractional initial value problems
• The existence of multiple positive solutions for boundary value problems of nonlinear fractional differential equations
• Multiple positive solutions for the boundary value problem of a nonlinear fractional differential equation
• Boundary value problems for differential equations with fractional order and nonlocal conditions
• Existence and uniqueness for \(p\)-type fractional neutral differential equations
• Existence and uniqueness for fractional neutral differential equations with infinite delay
• Modeling with fractional difference equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• The existence and uniqueness of solutions to boundary value problems of fractional difference equations
• Two-point boundary value problems for finite fractional difference equations
• Positive solutions for systems of nonlinear discrete boundary value problems
• Fractional q-Calculus on a time scale
• Initial value problems in discrete fractional calculus
• Existence and multiplicity of positive solutions for elliptic systems
• On positive solutions to nonlocal fractional and integer-order difference equations
• Positive solutions for boundary value problem of nonlinear fractional differential equation
• Analysis of fractional differential equations

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