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Research Article | Open Access

On the positive solutions for IBVP of conformable differential equations

Mouataz Billah Mesmouli1( ), Taher S. Hassan2
Mathematics Department, College of Science, University of Ha'il, Ha'il 2440, Saudi Arabia
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
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Abstract

A problem with integral boundary conditions (IBVP) involving conformable fractional derivatives is considered in this article. The upper and lower solutions technique is used to discuss the existence and uniqueness of positive solutions. The fixed point Theorem of Schauder proves the existence of positive solutions, and the fixed point Theorem of Banach proves the uniqueness of solutions. Our results are illustrated by an example.

Keywords

IBVPpositive solutionsfixed pointconformable differential equations
CLC number: 34A08, 34A12, 34B18, 47H10

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AIMS Mathematics
Volume 8 Issue 10,
October 2023
Pages 24740-24750
DOI: 10.3934/math.20231261

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Cite this article:
Mesmouli MB, Hassan TS. On the positive solutions for IBVP of conformable differential equations. AIMS Mathematics, 2023, 8(10): 24740-24750. https://doi.org/10.3934/math.20231261

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Received: 24 March 2023
Revised: 23 May 2023
Accepted: 07 August 2023
Published: 15 October 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)