Existence result for nonlinear fractional differential equations with nonlocal fractional integro-differential boundary conditions in Banach spaces

DOI10.1515/GMJ-2019-2009zbMath1478.34070OpenAlexW2912719733WikidataQ128394819 ScholiaQ128394819MaRDI QIDQ1983502

Hamza Rebai, Djamila Seba, Johnny Henderson

Publication date: 10 September 2021

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2019-2009

zbMATH Keywords

fixed pointmeasure of noncompactnessBanach spaceCaputo fractional derivativeRiemann-Liouville integral

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items (2)

Existence results for higher order fractional differential equations with integral boundary conditions via Kuratowski measure of noncompactnes ⋮ Controllability of coupled systems for impulsiveφ-Hilfer fractional integro-differential inclusions

Cites Work

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• Boundary value problems for Riemann-Liouville fractional differential inclusions with nonlocal Hadamard fractional integral conditions
• Fractional boundary value problems with singularities in space variables
• Nonlinear fractional differential equations with nonlocal fractional integro-differential boundary conditions
• Existence results for a coupled system of Caputo type sequential fractional differential equations with nonlocal integral boundary conditions
• On the application of measure of noncompactness to the existence of solutions for fractional differential equations
• Uniqueness of solution for boundary value problems for fractional differential equations
• On the application of measure of noncompactness to existence theorems
• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• Inverse source problem for a time-fractional diffusion equation with nonlocal boundary conditions
• Existence of extremal solutions for nonlinear fractional differential equation with nonlinear boundary conditions
• Measure of Noncompactness and Nondensely Defined Semilinear Functional Differential Equations with Fractional Order
• Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
• Boundary value problems for fractional differential inclusions in Banach spaces
• Boundary value problems for nonlinear fractional differential equations and inclusions with nonlocal and integral boundary conditions
• Advances in Fractional Calculus
• Positive solutions for a fractional boundary value problem

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