Existence Results for Hybrid Stochastic Differential Equations Involving $\psi$-Hilfer Fractional Derivative

Authors : Dvivek Vivek, Elsayed Elsayed, Kangarajan K.

Pages : 138-144

Doi:10.47000/tjmcs.987414

View : 11 | Download : 6

Publication Date : 2022-06-30

Article Type : Research

Abstract :In this paper, we discuss the existence of solutions for hybrid stochastic differential equations (HSDEs) with the $\psi$-Hilfer fractional derivative. The main tool used in our study is associated with the technique of fixed point theorems due to Dhage.
Keywords : Riemann-Liouville fractional integral, Hilfer fractional derivative, existence, fixed point, hybrid differential equations