Existence and Stability Results for Stochastic Fractional Delay Differential Equations with Gaussian Noise

K Balachandran,N Annapoorani,P Umamaheswari

doi:10.1007/978-981-15-0928-5_20

Existence and Stability Results for Stochastic Fractional Delay Differential Equations with Gaussian Noise

K Balachandran, N Annapoorani + Show 1 more

https://doi.org/10.1007/978-981-15-0928-5_20

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Publication Date: Jan 1, 2020

Affiliation: Bharathiar University

#Stochastic Fractional Differential Equations #Stochastic Delay Differential Equations + Show 8 more

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Abstract

In this paper, the existence and uniqueness of solutions of stochastic fractional delay differential equations is obtained by using Picard–Lindelof successive approximation scheme. Further, the stability results are established using the Mittag-Leffler function. Examples are provided to illustrate the theory.

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