Kamalendra Kumar
Kamalendra Kumar has a total of 8 co-authors. Here are the top co-authors by number of shared publications:
- Anurag Shukla
Department of Applied Sciences, Rajkiya Engineering College, Kannauj, India
2 shared publications - Velusamy Vijayakumar
Department of Mathematics, School of Advanced sciences, Vellore Institute of Technology, Vellore, India
2 shared publications - Chokkalingam Ravichandran
Department of Mathematics, Kongunadu Arts and Science College, Coimbatore, India
1 shared publication - Karnataka
Hindu College, Moradabad, UP, 244001
1 shared publication - Kothandabani Thilagavathi
Department of Mathematics, School of Advanced sciences, Vellore Institute of Technology, Vellore, India
1 shared publication - Rakesh Kumar
Hindu College, Moradabad, UP, 244001
1 shared publication
Latest Publications
- Open Access
- 24 August 2024
- Published by MDPI AG in Fractal and Fractional
- Vol. 8 (9) , 499
Approximate Controllability of Hilfer Fractional Stochastic Evolution Inclusions of Order 1 < q < 2
This paper addresses the approximate controllability results for Hilfer fractional stochastic differential inclusions of order . Stochastic analysis, cosine families, fixed point theory, and fractional calculus provide the foundation of the main results. First, we explored the prospects of finding mild solutions for the Hilfer fractional stochastic differential equation. Subsequently, we determined that the specified system is approximately controllable. Finally, an example displays the theoretical application of the results.- 24 August 2024
- Published by MDPI AG in Fractal and Fractional
- Vol. 8 (9) , 499
Open AccessApproximate Controllability of Hilfer Fractional Stochastic Evolution Inclusions of Order 1 < q < 2
This paper addresses the approximate controllability results for Hilfer fractional stochastic differential inclusions of order . Stochastic analysis, cosine families, fixed point theory, and fractional calculus provide the foundation of the main results. First, we explored the prospects of finding mild solutions for the Hilfer fractional stochastic differential equation. Subsequently, we determined that the specified system is approximately controllable. Finally, an example displays the theoretical application of the results. - 3 February 2022
- Published by Wiley in Mathematical Methods in the Applied Sciences
- Vol. 45 (13) , 8193-8215
A discussion on boundary controllability of nonlocal impulsive neutral integrodifferential evolution equations
Sufficient conditions for boundary controllability of nonlocal impulsive neutral integrodifferential evolution equations are explored. In the first problem, the outcomes are proven with the help of Sadovskii's fixed point theorem collaborated with strongly continuous semigroup theory. In the second problem, we considered nonautonomous evolution equations, and the result is proven by employing Sadovskii's fixed point theorem in collaboration with the evolution system. Examples are included to demonstrate the theoretical results for both types of equations.
- 3 February 2022
- Published by Wiley in Mathematical Methods in the Applied Sciences
- Vol. 45 (13) , 8193-8215
A discussion on boundary controllability of nonlocal impulsive neutral integrodifferential evolution equations
Sufficient conditions for boundary controllability of nonlocal impulsive neutral integrodifferential evolution equations are explored. In the first problem, the outcomes are proven with the help of Sadovskii's fixed point theorem collaborated with strongly continuous semigroup theory. In the second problem, we considered nonautonomous evolution equations, and the result is proven by employing Sadovskii's fixed point theorem in collaboration with the evolution system. Examples are included to demonstrate the theoretical results for both types of equations.
- Open Access
- 30 September 2021
- Published by Erdal Karapinar in Advances in the Theory of Nonlinear Analysis and its Application
- Vol. 5 (3) , 433-444
Nonlinear Integrodifferential Equations with Time Varying Delay
By practicing the manner of semigroup theory and Banach contraction theorem, the existence and uniqueness of mild and classical solutions of nonlinear integrodifferential equations with time varying delay in Banach spaces is showed. Certainly, an example is revealed to justify the abstract idea. By practicing the manner of semigroup theory and Banach contraction theorem, the existence and uniqueness of mild and classical solutions of nonlinear integrodifferential equations with time varying delay in Banach spaces is showed. Certainly, an example is revealed to justify the abstract idea.
- 30 September 2021
- Published by Erdal Karapinar in Advances in the Theory of Nonlinear Analysis and its Application
- Vol. 5 (3) , 433-444
Open AccessNonlinear Integrodifferential Equations with Time Varying Delay
By practicing the manner of semigroup theory and Banach contraction theorem, the existence and uniqueness of mild and classical solutions of nonlinear integrodifferential equations with time varying delay in Banach spaces is showed. Certainly, an example is revealed to justify the abstract idea. By practicing the manner of semigroup theory and Banach contraction theorem, the existence and uniqueness of mild and classical solutions of nonlinear integrodifferential equations with time varying delay in Banach spaces is showed. Certainly, an example is revealed to justify the abstract idea.