The existence and Hyers-Ulam stability of solution for almost periodical fractional stochastic differential equation with fBm
Yu-Chen Guo, Mengqi Chen, Xiao‐Bao Shu, Fei Xu
Abstract
The article is devoted to the existence and Hyers-Ulam stability of the almost periodic solution to the fractional differential equation with impulse and fractional Brownian motion under nonlocal condition. The investigation is mainly based on the semigroups of operators method and Mönch fixed points method, as well as the basic theory of Hyers-Ulam stability.
Topics & Concepts
MathematicsFractional Brownian motionStability (learning theory)Impulse (physics)Mathematical analysisDifferential equationFractional calculusStochastic differential equationBrownian motionApplied mathematicsStatisticsPhysicsComputer scienceQuantum mechanicsMachine learningNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsStability and Controllability of Differential Equations