Coupled systems of fractional ∇-difference boundary value problems

DOI10.7153/DEA-08-26zbMath1360.39005OpenAlexW2512831781MaRDI QIDQ2823233

Yousef Gholami, Kazem Ghanbari

Publication date: 6 October 2016

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/dea-08-26

zbMATH Keywords

numerical examplesGreen functionsboundary value problemsexistence of solutionsdiscrete fractional calculusnonlinear alternative of Leray-SchauderKrasnoselskii-Zabreiko fixed point theoremstwo-point fractional difference boundary value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Fractional ordinary differential equations (34A08)

Related Items (6)

On a nabla fractional boundary value problem with general boundary conditions ⋮ Positive solutions of nabla fractional boundary value problem ⋮ Green's function for a discrete fractional boundary value problem ⋮ Coupled systems of Caputo type fractional \(\Delta\)-difference boundary value problems at resonance ⋮ Unnamed Item ⋮ An ordering on Green's function and a Lyapunov-type inequality for a family of nabla fractional boundary value problems

Cites Work

• Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions
• Unbounded solutions for a fractional boundary value problems on the infinite interval
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Dual identities in fractional difference calculus within Riemann
• Two-point boundary value problems for finite fractional difference equations
• Discrete Fractional Calculus
• Discrete fractional calculus with the nabla operator
• Initial value problems in discrete fractional calculus
• Solutions to a class of nonlinear differential equations of fractional order

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