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Research Article | Open Access

A priori estimate for resolving the boundary fractional problem

Mathematics and Informatics Department, LAMIS, Laboratory Tebessa University, Algeria
Mathematics Department, Faculty of Science, University of Tabuk, 71491, Saudi Arabia
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Abstract

The energy inequality method (or a priori estimation) known in classical cases has been adopted for fractional evolution equations associated with initial conditions and boundary integral conditions. We prove the existence and uniqueness of the solution to the problem described in the following.

Keywords

existence and uniquenesssolvabilityfractional equationintegral conditionsCaputo derivatives
CLC number: 76D03, 76N10

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AIMS Mathematics
Volume 8 Issue 1,
January 2023
Pages 765-774
DOI: 10.3934/math.2023037

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Mecheri H, Alshehri MG. A priori estimate for resolving the boundary fractional problem. AIMS Mathematics, 2023, 8(1): 765-774. https://doi.org/10.3934/math.2023037

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Received: 20 February 2022
Revised: 12 June 2022
Accepted: 20 June 2022
Published: 15 January 2023
©2023 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)