A discussion on the approximate controllability of Hilfer fractional neutral stochastic integro-differential systems

C. Dineshkumar; R. Udhayakumar; V. Vijayakumar; Kottakkaran Sooppy Nisar

doi:10.1016/j.chaos.2020.110472

A discussion on the approximate controllability of Hilfer fractional neutral stochastic integro-differential systems

C. Dineshkumar
, R. Udhayakumar
, V. Vijayakumar
, Kottakkaran Sooppy Nisar

Mathematics

Vellore Institute of Technology

Research output: Contribution to journal › Article › peer-review

87 Scopus citations

Abstract

This manuscript is mainly focusing on the approximate controllability of Hilfer fractional neutral stochastic integro-differential equations. The principal results of this article are proved based on the theoretical concepts related to the fractional calculus and Schauder's fixed-point theorem. Initially, we discuss the approximate controllability of the fractional evolution system. Then, we extend our results to the concept of nonlocal conditions. Finally, we provide theoretical and practical applications to assist in the effectiveness of the discussion.

Original language	English
Article number	110472
Journal	Chaos, Solitons and Fractals
Volume	142
DOIs	https://doi.org/10.1016/j.chaos.2020.110472
State	Published - Jan 2021

Keywords

Approximate controllability
Hilfer fractional evolution equations
Neutral systems
Nonlocal conditions
Stochastic integro-differential equations

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10.1016/j.chaos.2020.110472

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abstract = "This manuscript is mainly focusing on the approximate controllability of Hilfer fractional neutral stochastic integro-differential equations. The principal results of this article are proved based on the theoretical concepts related to the fractional calculus and Schauder's fixed-point theorem. Initially, we discuss the approximate controllability of the fractional evolution system. Then, we extend our results to the concept of nonlocal conditions. Finally, we provide theoretical and practical applications to assist in the effectiveness of the discussion.",

keywords = "Approximate controllability, Hilfer fractional evolution equations, Neutral systems, Nonlocal conditions, Stochastic integro-differential equations",

author = "C. Dineshkumar and R. Udhayakumar and V. Vijayakumar and Nisar, \{Kottakkaran Sooppy\}",

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AB - This manuscript is mainly focusing on the approximate controllability of Hilfer fractional neutral stochastic integro-differential equations. The principal results of this article are proved based on the theoretical concepts related to the fractional calculus and Schauder's fixed-point theorem. Initially, we discuss the approximate controllability of the fractional evolution system. Then, we extend our results to the concept of nonlocal conditions. Finally, we provide theoretical and practical applications to assist in the effectiveness of the discussion.

KW - Approximate controllability

KW - Hilfer fractional evolution equations

KW - Neutral systems

KW - Nonlocal conditions

KW - Stochastic integro-differential equations

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M1 - 110472

ER -

A discussion on the approximate controllability of Hilfer fractional neutral stochastic integro-differential systems

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Keywords

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