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Research Article | Open Access

On a boundary value problem of arbitrary orders differential inclusion with nonlocal, integral and infinite points boundary conditions

A. M. A. El-Sayed1, W. G. El-Sayed1, Somyya S. Amrajaa2( )
Department of Mathematics, Faculty of Science, Alexandria University, Alexandria, Egypt
Faculty of Science, Omar al mukhtar University, Libya
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Abstract

In this work, we are concerned with a boundary value problem of fractional orders differential inclusion with nonlocal, integral and infinite points boundary conditions. We prove some existence results for that nonlocal boundary value problem. Next, the existence of maximal and minimal solutions is proved. Finally, the sufficient condition for the uniqueness and continuous dependence of solution are studied.

Keywords

differential inclusionboundary value problemexistence of solutionscontinuous dependence
CLC number: 26A33, 34K45, 47G10

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AIMS Mathematics
Volume 7 Issue 3,
March 2022
Pages 3896-3911
DOI: 10.3934/math.2022215

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Cite this article:
El-Sayed AMA, El-Sayed WG, Amrajaa SS. On a boundary value problem of arbitrary orders differential inclusion with nonlocal, integral and infinite points boundary conditions. AIMS Mathematics, 2022, 7(3): 3896-3911. https://doi.org/10.3934/math.2022215

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Received: 11 August 2021
Accepted: 24 November 2021
Published: 15 March 2021
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)