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Solvability of Fractional Order Semi-linear Stochastic Impulsive Differential Equation with State-Dependent Delay

  • Mohd NadeemEmail author
  • Jaydev Dabas
Research Article
  • 22 Downloads

Abstract

In this paper, we present a mathematical model of fractional order semi-linear functional stochastic differential equations with impulsive effects in a Hilbert space. The sufficient conditions of the existence and uniqueness of mild solutions for the considered problem are proved by using the classical fixed point theorems. Finally, we presented two examples to verify the results.

Keywords

Fractional order differential equation Stochastic functional differential equations Existence results Impulsive conditions 

Mathematics Subject Classification

26A33 34K50 34A12 34A37 

Notes

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Copyright information

© The National Academy of Sciences, India 2019

Authors and Affiliations

  1. 1.Department of Applied Science and EngineeringIIT RoorkeeSaharanpurIndia

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