On stochastic dynamical systems governed by generalized fractional order stochastic anti-periodic boundary value problem with Poisson-jump

Abstract

This research article deals with stochastic dynamical systems governed by fractional order stochastic anti-periodic boundary value problems with Poisson-jump. We consider two systems which involve Caputo derivative and generalized Caputo derivative. We give some sufficient conditions for the existence and uniqueness of the solution for considered systems via fixed point technique. We present an application in the form of an example and validate the conditions with the help of numerical simulation. © Università degli Studi di Napoli "Federico II" 2025.