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Research Article | Open Access

Initial value problems for fractional p-Laplacian equations with singularity

Istanbul Beykent University, Faculty of Arts-Sciences, Department of Mathematics, Istanbul, Turkiye
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Abstract

We have studied initial value problems for Caputo fractional differential equations with singular nonlinearities involving the p-Laplacian operator. We have given a precise mathematical analysis of the equivalence of the fractional differential equations and Volterra integral equations studied in this paper. A theorem for the global existence of the solution was proven. In addition, an example was given at the end of the article as an application of the results found in this paper.

Keywords

initial value problemsCaputo fractional differential equationsfractional derivativesfractional p-Laplacianexistence theorem
CLC number: 26A33, 34A08, 34A12

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AIMS Mathematics
Volume 9 Issue 5,
May 2024
Pages 12800-12813
DOI: 10.3934/math.2024625

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Cite this article:
Hasanov M. Initial value problems for fractional p-Laplacian equations with singularity. AIMS Mathematics, 2024, 9(5): 12800-12813. https://doi.org/10.3934/math.2024625

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Received: 19 February 2024
Revised: 23 March 2024
Accepted: 01 April 2024
Published: 15 May 2024
©2024 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)