On the Existence and Stability of a Neutral Stochastic Fractional Differential System
Manzoor Ahmad, Akbar Zada, Mehran Ghaderi, Reny George, Shahram Rezapour
Abstract
The main purpose of this paper is to investigate the existence and Ulam-Hyers stability (U-Hs) of solutions of a nonlinear neutral stochastic fractional differential system. We prove the existence and uniqueness of solutions to the proposed system by using fixed point theorems and the Banach contraction principle. Also, by using fundamental schemes of fractional calculus, we study the (U-Hs) to the solutions of our suggested system. Besides, we study an example, best describing our main result.
Topics & Concepts
UniquenessContraction principleMathematicsFixed-point theoremContraction mappingBanach fixed-point theoremFractional calculusNonlinear systemFixed pointStability (learning theory)Contraction (grammar)Applied mathematicsMathematical analysisComputer sciencePhysicsMedicineInternal medicineQuantum mechanicsMachine learningFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisFunctional Equations Stability Results