Existence and uniqueness of solution for a boundary value problem of fractional order involving two Caputo's fractional derivatives

DOI10.1186/S13662-015-0581-9zbMath1422.34010OpenAlexW1929407940WikidataQ59429802 ScholiaQ59429802MaRDI QIDQ1721884

Mohamed I. Abbas

Publication date: 13 February 2019

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

Full work available at URL: https://doi.org/10.1186/s13662-015-0581-9

zbMATH Keywords

Banach contraction principleboundary value problemHölder's inequalitySchaefer's fixed point theorem

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Lipschitz (Hölder) classes (26A16) Fractional derivatives and integrals (26A33) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items (13)

On establishing qualitative theory to nonlinear boundary value problem of fractional differential equations ⋮ Investigation of the \(p\)-Laplacian nonperiodic nonlinear boundary value problem via generalized Caputo fractional derivatives ⋮ Certain analysis of solution for the nonlinear two-point boundary value problem with Caputo fractional derivative ⋮ Investigation of an implicit Hadamard fractional differential equation with Riemann-Stieltjes integral boundary condition ⋮ Existence results for Hadamard and Riemann-Liouville functional fractional neutral integrodifferential equations with finite delay ⋮ On the Hadamard and Riemann-Liouville fractional neutral functional integrodifferential equations with finite delay ⋮ Analysis of implicit system of fractional order via generalized boundary conditions ⋮ Existence results and Hyers-Ulam stability to a class of nonlinear arbitrary order differential equations ⋮ Unnamed Item ⋮ On the existence of solution for fractional differential equations of order \(3<\delta_{1}\leq 4\) ⋮ Linear and Nonlinear Fractional Voigt Models ⋮ On a Hilfer fractional differential equation with nonlocal Erdélyi-Kober fractional integral boundary conditions ⋮ Existence and uniqueness results for Riemann–Stieltjes integral boundary value problems of nonlinear implicit Hadamard fractional differential equations

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