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

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 equations
• cf-fractional derivative
• solvability
• guh-stability
• fixed point theorem