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

Kaihong Zhao; Kaihong Zhao

doi:10.3934/math.2023676

AIMS Mathematics

2023, Volume 8, Issue 6: 13351-13367. doi: 10.3934/math.2023676

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Research article

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

Kaihong Zhao ^,

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

Received: 01 March 2023 Revised: 26 March 2023 Accepted: 27 March 2023 Published: 04 April 2023
MSC : 34A08, 34D20, 37C25

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.
- coupled Laplacian equations,
- CF-fractional derivative,
- solvability,
- GUH-stability,
- fixed point theorem
Citation: Kaihong Zhao. Solvability and GUH-stability of a nonlinear CF-fractional coupled Laplacian equations[J]. AIMS Mathematics, 2023, 8(6): 13351-13367. doi: 10.3934/math.2023676

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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.

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