Solvability and GUH-stability of a nonlinear CF-fractional coupled Laplacian equations
Kaihong Zhao
Abstract
<abstract><p>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.</p></abstract>
Topics & Concepts
Invertible matrixNonlinear systemMathematicsStability (learning theory)Verifiable secret sharingApplied mathematicsLaplace operatorKernel (algebra)Fractional LaplacianPure mathematicsMathematical analysisComputer sciencePhysicsMachine learningQuantum mechanicsProgramming languageSet (abstract data type)Fractional Differential Equations SolutionsNonlinear Differential Equations AnalysisFunctional Equations Stability Results