Existence and Stability Results for Stochastic Fractional Differential Equations with Lévy Noise

Umamaheswari Palanivel, Balachandran Krishnan, Annapoorani Natarajan

Abstract


In this paper, the existence of solution of stochastic fractional differential equations with Lévy noise is established by the Picard-Lindel\"of successive approximation scheme. The stability of  nonlinear stochastic fractional dynamical system with Lévy noise is obtained using Mittag Leffler function. Examples are  provided to illustrate the theory.

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