Ulam–Hyers–Rassias stability for nonlinear Ψ-Hilfer stochastic fractional differential equation with uncertainty
Reza Chaharpashlou, Reza Saadati, Abdon Atangana
Abstract
Abstract We consider a nonlinear Cauchy problem involving the Ψ -Hilfer stochastic fractional derivative with uncertainty, and we give a stability result. Using fixed point theory, we are able to provide a fuzzy Ulam–Hyers–Rassias stability for the considered nonlinear stochastic fractional differential equations.
Topics & Concepts
MathematicsNonlinear systemStability (learning theory)Ordinary differential equationPartial differential equationStochastic partial differential equationApplied mathematicsCauchy distributionFixed pointStochastic differential equationFractional calculusMathematical analysisDifferential equationPhysicsQuantum mechanicsComputer scienceMachine learningFunctional Equations Stability ResultsNonlinear Differential Equations AnalysisFractional Differential Equations Solutions