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Dimplekumar Navinchandra Chalishajar

Virginia Military Institute

Department of Economics and Business

Scott Shipp Hall

Lexington, VA 24450

United States

SCHOLARLY PAPERS

6

DOWNLOADS

335

TOTAL CITATIONS

0

Scholarly Papers (6)

1.

Trajectory Controllability of Stochastic Integro-Differential Equation with State Dependent Delay Driven by Mixed Brownian Motion Suffered by Non-Instantaneous Impulses

Number of pages: 30 Posted: 10 Nov 2022
Ravikumar Kasinathan, Ramkumar Kasinathan, Dimplekumar Navinchandra Chalishajar, S. Varshini and K. Dhanalakshmi
PSG College of Arts and Science, PSG College of Arts and Science, Virginia Military Institute, PSG College of Arts and Science and affiliation not provided to SSRN
Downloads 102 (679,608)

Abstract:

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T-controllability, Non-instantaneous impulse, Mixed Brownian motion, State dependent delay

2.

The Averaging Principle of Hilfer Fractional Stochastic Pantograph Equations with Non-Lipschitz Conditions

Number of pages: 9 Posted: 30 Sep 2023
Ramkumar Kasinathan, S. Varshini, Ravikumar Kasinathan, Dimplekumar Navinchandra Chalishajar and Dumitru Baleanu
PSG College of Arts and Science, PSG College of Arts and Science, PSG College of Arts and Science, Virginia Military Institute and Çankaya University
Downloads 62 (942,565)

Abstract:

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Hilfer fractional stochastic differential system, Averaging principle, Pantograph equations

3.

Optimal Controls for Neutral Stochastic Integrodifferential Equations with Infinite Time Delay and Deviated Argument Driven by Rosenblatt Process

Number of pages: 19 Posted: 30 Jun 2022
Dimplekumar Navinchandra Chalishajar, Ravikumar Kasinathan, Ramkumar Kasinathan and Mamadou Abdoul Diop
Virginia Military Institute, PSG College of Arts and Science, PSG College of Arts and Science and affiliation not provided to SSRN
Downloads 62 (942,565)

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Optimal Controllability, Rossenblatt Process, Neutral functional Stochastic integrodifferential equations, Resolvent operator

4.

Trajectory Controllability of Non-Linear Fractional Stochastic System Involving Statedependent Delay and Impulsive Effects

Number of pages: 16 Posted: 23 Jul 2024
Ramkumar Kasinathan, Ravikumar Kasinathan, Dhanalakshmi Kasinathan and Dimplekumar Navinchandra Chalishajar
PSG College of Arts and Science, PSG College of Arts and Science, Periyar University and Virginia Military Institute
Downloads 50 (1,063,489)

Abstract:

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Fractional impulsive system, Gronwall's inequality, Nonlinear stochastic system, State-dependent delay, T-controllability.

5.

New Discussion on Trajectory Controllability of Time Invariant Impulsive Neutral Stochastic Functional Integrodifferential Equations Via Noncompact Semigroup

Number of pages: 18 Posted: 13 Aug 2024
Ramkumar Kasinathan, Dimplekumar Navinchandra Chalishajar, Ravikumar Kasinathan and Dhanalakshmi Kasinathan
PSG College of Arts and Science, Virginia Military Institute, PSG College of Arts and Science and Periyar University
Downloads 45 (1,121,190)

Abstract:

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T-controllability, Time invariant delay, Impulsive neutral stochastic integrodifferential system, Noncompact semigroup, Resolvent operator.

6.

Electromechanical Stability and $\mathcal{T}$-Controllability Analysis of Hilfer Fractional Stochastic Switching Systems with Non-Instantaneous Impulses using Integral Contraction Framework

Number of pages: 67 Posted: 02 Feb 2026
Dimplekumar Navinchandra Chalishajar, Dhanalakshmi Kasinathan, Ramkumar Kasinathan and Ravikumar Kasinathan
Virginia Military Institute, Periyar University, PSG College of Arts and Science and PSG College of Arts and Science
Downloads 14 (1,509,872)

Abstract:

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Deviated Arguments, Hilfer Fractional Switched Dynamical System, Non-Instantaneous