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Research Article | Open Access

Solvability and GUH-stability of a nonlinear CF-fractional coupled Laplacian equations

Department of Mathematics, School of Electronics & Information Engineering, Taizhou University, Taizhou 318000, China
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Abstract

In this paper, we mainly take into account a nonlinear fractional coupled Laplacian equations with nonsingular exponential kernel. After discussing the Laplacian parameters in four cases, some new and easily verifiable sufficient criteria of solvability are obtained. We further prove that this system is generalized Ulam-Hyers (GUH) stable. Finally, an example is applied to explain the availability of our major results.

Keywords

coupled Laplacian equationsCF-fractional derivativesolvabilityGUH-stabilityfixed point theorem
CLC number: 34A08, 34D20, 37C25

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AIMS Mathematics
Volume 8 Issue 6,
June 2023
Pages 13351-13367
DOI: 10.3934/math.2023676

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Cite this article:
Zhao K. Solvability and GUH-stability of a nonlinear CF-fractional coupled Laplacian equations. AIMS Mathematics, 2023, 8(6): 13351-13367. https://doi.org/10.3934/math.2023676

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Received: 01 March 2023
Revised: 26 March 2023
Accepted: 27 March 2023
Published: 15 June 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)