A Note on the Stability Analysis of Fuzzy Nonlinear Fractional Differential Equations Involving the Caputo Fractional Derivative
Ali El Mfadel, Saïd Melliani, M’hamed Elomari
Abstract
In this paper, we present and establish a new result on the stability analysis of solutions for fuzzy nonlinear fractional differential equations by extending Lyapunov’s direct method from the fuzzy ordinary case to the fuzzy fractional case. As an application, several examples are presented to illustrate the proposed stability result.
Topics & Concepts
MathematicsFractional calculusNonlinear systemFuzzy logicStability (learning theory)Applied mathematicsMathematical analysisComputer scienceArtificial intelligenceMachine learningPhysicsQuantum mechanicsFuzzy Systems and OptimizationFractional Differential Equations SolutionsNonlinear Differential Equations Analysis