Unique positive solution for nonlinear Caputo-type fractional q-difference equations with nonlocal and Stieltjes integral boundary conditions

DOI10.7153/FDC-2019-09-19zbMath1463.39012arXiv1909.10290OpenAlexW3001821339MaRDI QIDQ5211950

D. D. Pawar, Ahmad Y. A. Salamooni

Publication date: 28 January 2020

Published in: Fractional Differential Calculus (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.10290

zbMATH Keywords

existenceGreen's functionboundary value problemfixed point theoremRiemann-Stieltjes integralfractional \(q\)-difference equationsgeneralized Caputo type

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fractional derivatives and integrals (26A33) Difference equations, scaling ((q)-differences) (39A13)

Related Items (2)

Existence and continuation of solutions of Hilfer-Katugampola-type fractional differential equations ⋮ Existence and uniqueness of nonlocal boundary conditions for Hilfer-Hadamard-type fractional differential equations

Cites Work

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• Positive solutions for a system of nonlinear semipositone fractional q q-difference equations with q q-integral boundary conditions
• Nonlinear q-fractional differential equations with nonlocal and sub-strip type boundary conditions
• Some Fractional q-Integrals and q-Derivatives

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