Discussion on Existence of Mild Solutions for Hilfer Fractional Neutral Stochastic Evolution Equations Via Almost Sectorial Operators with Delay

S. Sivasankar; R. Udhayakumar

Ayuda

Discussion on Existence of Mild Solutions for Hilfer Fractional Neutral Stochastic Evolution Equations Via Almost Sectorial Operators with Delay

S. Sivasankar ^[1] ; R. Udhayakumar ^[1]
1. [1] Vellore Institute of Technology
Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 2, 2023
Idioma: inglés
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Resumen
- In this paper, we formulate a new set of sufficient conditions for the existence of mild solutions for Hilfer fractional neutral stochastic evolution equations via almost sectorial operators with delay. The primary results are obtained from the properties of fractional calculus, stochastic analysis theory, the measure of noncompactness, and the fixed point technique. Firstly, we demonstrate the existence of mild solutions for Hilfer fractional neutral stochastic evolution equations via an almost sectorial operator with delay by using the Mönch fixed point theorem. The main result is finally demonstrated using an example.
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