Existence Results and Trajectory Controllability of Conformable Hilfer Fractional Neutral Stochastic Integro-differential Equations

Authors

  • A. Jalisraj Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, 632014, Tamil Nadu, India
  • R. Udhayakumar Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, 632014, Tamil Nadu, India https://orcid.org/0000-0002-7020-3466

DOI:

https://doi.org/10.37256/cm.5420245431

Keywords:

Hilfer fractional derivative, conformable fractional derivative, trajectory controllability, stochastic differential equation

Abstract

This manuscript commits to analyzing the existence and uniqueness of mild solution and trajectory controllability of conformable Hilfer fractional neutral stochastic integro-differential system with infinite delay through Lipschitz, growth conditions and properties of semigroup theory, controllability theory, stochastic analysis techniques, and Banach fixed point theorem with example. This manuscript mainly focuses on fractional system provide the mathematical foundation to understand and control complex, real-world systems with memory, and randomness.

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Published

2024-11-25

How to Cite

1.
Jalisraj A, Udhayakumar R. Existence Results and Trajectory Controllability of Conformable Hilfer Fractional Neutral Stochastic Integro-differential Equations. Contemp. Math. [Internet]. 2024 Nov. 25 [cited 2024 Dec. 4];5(4):5496-517. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/5431

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