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

Year 2022, Volume: 14 Issue: 1, 138 - 144, 30.06.2022

Dvivek Vivek , Elsayed Elsayed , Kangarajan K.

https://doi.org/10.47000/tjmcs.987414

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

Supporting Institution

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Project Number

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Thanks

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