Stability results for neutral fractional stochastic differential equations
Omar Kahouli, Saleh Albadran, Zied Elleuch, Yassine Bouteraa, Abdellatif Ben Makhlouf
Abstract
<abstract><p>Many techniques have been recently employed by researchers to address the challenges posed by fractional differential equations. In this paper, we investigate the concept of Ulam-Hyers stability for a class of neutral fractional stochastic differential equations by using the Banach fixed point theorem and the stochastic analysis techniques. An example is presented at the end of the paper to show the interest and the applicability of the results.</p></abstract>
Topics & Concepts
MathematicsStability (learning theory)Fixed-point theoremClass (philosophy)Stochastic differential equationNeutral theory of molecular evolutionFractional calculusDifferential equationApplied mathematicsStochastic partial differential equationMathematical analysisComputer scienceArtificial intelligenceSociologyPopulationDemographyMachine learningFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisFunctional Equations Stability Results