A new conversation on the existence of Hilfer fractional stochastic Volterra–Fredholm integro-differential inclusions via almost sectorial operators
Articles
Sivajiganesan Sivasankar
Vellore Institute of Technology
https://orcid.org/0000-0003-2422-9670
Ramalingam Udhayakumar
Vellore Institute of Technology
https://orcid.org/0000-0002-7020-3466
Venkatesan Muthukumaran
SRM Institute of Science and Technology
https://orcid.org/0000-0002-3393-5596
Published 2023-02-22
https://doi.org/10.15388/namc.2023.28.31450
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Keywords

Hilfer fractional system
stochastic system
integro-differential system
almost sectorial operators
multivalued maps

How to Cite

Sivasankar, S., Udhayakumar, R. and Muthukumaran, V. (2023) “A new conversation on the existence of Hilfer fractional stochastic Volterra–Fredholm integro-differential inclusions via almost sectorial operators”, Nonlinear Analysis: Modelling and Control, 28(2), pp. 288–307. doi:10.15388/namc.2023.28.31450.

Abstract

The existence of Hilfer fractional stochastic Volterra–Fredholm integro-differential inclusions via almost sectorial operators is the topic of our paper. The researchers used fractional calculus, stochastic analysis theory, and Bohnenblust–Karlin’s fixed point theorem for multivalued maps to support their findings. To begin with, we must establish the existence of a mild solution. In addition, to show the principle, an application is presented.

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