Green's functions and existence of solutions of nonlinear fractional implicit difference equations with Dirichlet boundary conditions

DOI10.7494/OPMATH.2024.44.2.167arXiv2212.08851OpenAlexW4390858253WikidataQ129793490 ScholiaQ129793490MaRDI QIDQ6146874

Jonnalagadda Jagan Mohan, Nikolay D. Dimitrov, Alberto Cabada

Publication date: 31 January 2024

Published in: Opuscula Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.08851

zbMATH Keywords

Green's functionexistence of solutionsDirichlet conditionsfractional difference

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Discrete version of topics in analysis (39A12) Difference equations, scaling ((q)-differences) (39A13) Boundary value problems for difference equations (39A27)

Cites Work

• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Existence of solutions of discrete fractional problem coupled to mixed fractional boundary conditions
• Green's functions for fractional difference equations with Dirichlet boundary conditions
• Nontrivial solutions of non-autonomous Dirichlet fractional discrete problems
• Functional inequalities for the Mittag-Leffler functions
• Two-point boundary value problems for finite fractional difference equations
• Discrete Fractional Calculus
• Initial value problems in discrete fractional calculus
• Nontrivial solutions for a nonlinear νth order Atıcı-Eloe fractional difference equation satisfying Dirichlet boundary conditions
• On positive solutions to nonlocal fractional and integer-order difference equations
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