Ramkumar, Kasinathan and Ravikumar, Kasinathan and Varshini, S (2023) Trajectory Controllability of Hilfer Fractional Neutral Stochastic Diferential Equations with Deviated Argument Using Rosenblatt Process and Poisson Jumps. Diferential Equations and Dynamical Systems.

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Abstract

The theoretical approach of Trajectory(T-)controllability of Hilfer fractional neutral stochastic diferential equation with deviated arguments, Rosenblatt process and Poisson
jumps has been elaborated. By knowing trajectories one can minimize the cost involved in
the system. Our result extends the works of Chalishajar et al. (J Franklin Inst 347(7):1065–
1075, 2010), Chalishajar et al. (Appl Math 3:1729–1738, 2012), Chalishajar et al. (Diferential Equations and Dynamical Systems, Springer, Berlin, 2014) and the concept of Riemman-Liouville (R-L) and Caputo’s derivatives. A Hilfer Fractional Stochastic diferential
equation proposed here remains untreated in the literature and its solvability is acquired by
using fractional calculus, stochastic analysis, semigroup theory and Krasnoselskii’s fxed
point theorem. In the later part the T-controllability of the aforementioned system is calculated. An abstract phase space deinition has been used for the infnite delay T-control
problem. Finally an illustration is given to validate our obtained results.

Item Type: Article
Uncontrolled Keywords: s Deviated argument · Hilfer fractional derivative · Neutral Stochastic diferential equation with infnite delay · Trajectory controllability
Divisions: PSG College of Arts and Science > Department of Mathematics
Depositing User: Mr Team Mosys
Date Deposited: 04 Jul 2023 04:59
Last Modified: 04 Jul 2023 04:59
URI: http://ir.psgcas.ac.in/id/eprint/1948

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