Zobrazeno 1 - 10
of 23
pro vyhledávání: '"Ramkumar Kasinathan"'
Autor:
Varshini Sandrasekaran, Ravikumar Kasinathan, Ramkumar Kasinathan, Dimplekumar Chalishajar, Dhanalakshmi Kasinathan
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 10, Iss , Pp 100713- (2024)
Establishing the fractional stochastic Schrödinger equations (FSSEs) in Hilbert space with complex potential and Poisson jumps is the primary goal of this work. Stochastic analysis, Mönch fixed point theorem, fractional calculus, and semigroup theo
Externí odkaz:
https://doaj.org/article/221e9c739b774d4c9df876a951fae51e
Existence and Hyers–Ulam stability of stochastic integrodifferential equations with a random impulse
Publikováno v:
Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-19 (2023)
Abstract The theoretical approach of random impulsive stochastic integrodifferential equations (RISIDEs) with finite delay, noncompact semigroups, and resolvent operators in Hilbert space is investigated in this article. Initially, a random impulsive
Externí odkaz:
https://doaj.org/article/fcbd72f147514f01a696121d5028257f
Publikováno v:
Fixed Point Theory and Algorithms for Sciences and Engineering, Vol 2023, Iss 1, Pp 1-23 (2023)
Abstract The purpose of this work is to investigate a novel class of noninstantaneous impulsive stochastic integrodifferential equations (SIDEs) driven by Brownian motion and Rosenblatt process. We construct a new set of adequate assumptions for the
Externí odkaz:
https://doaj.org/article/3203a5714c11468aa1ab9a8741a23d86
Publikováno v:
AIMS Mathematics, Vol 8, Iss 2, Pp 2556-2575 (2023)
In this article, we study the existence and stability results of mild solutions for random impulsive stochastic integro-differential equations (RISIDEs) with noncompact semigroups and resolvent operators in Hilbert spaces. Initially, we prove the exi
Externí odkaz:
https://doaj.org/article/07fdcf5827bb4757877b45444a9a2d92
Autor:
Ravikumar Kasinathan, Ramkumar Kasinathan, Dimplekumar Chalishajar, Varshini Sandrasekaran, Sonal Jain
Publikováno v:
Results in Applied Mathematics, Vol 18, Iss , Pp 100366- (2023)
The purpose of this paper is to determine a class of neutral stochastic functional integro-differential system in real separable Hilbert spaces as well as the exponential stability results. The Rosenblatt process acts as the driving force behind the
Externí odkaz:
https://doaj.org/article/d3604251b99040bcb7e70da8bef18cdc
Publikováno v:
Fractal and Fractional, Vol 7, Iss 11, p 783 (2023)
In this paper, we investigate the optimal control problems for a class of neutral stochastic integrodifferential equations (NSIDEs) with infinite delay driven by Poisson jumps and the Rosenblat process in Hilbert space involving concrete-fading memor
Externí odkaz:
https://doaj.org/article/f163d56e452f422890556a4bd353bfcb
Publikováno v:
Fractal and Fractional, Vol 7, Iss 7, p 541 (2023)
In this study, the multivalued fixed point theorem, Clarke subdifferential properties, fractional calculus, and stochastic analysis are used to arrive at the system’s mild solution (1). Furthermore, the mean square moment for the aforementioned sys
Externí odkaz:
https://doaj.org/article/77df0ce66a4a498b97f7b6ebe3743675
Publikováno v:
Results in Control and Optimization, Vol 9, Iss , Pp 100181- (2022)
In this article, the authors set up an optimal control for a class of neutral Stochastic Integro-Differential Equations (SIDEs) with infinite delay and deviated arguments driven by Rosenblatt process in Hilbert space. Sufficient conditions for the ex
Externí odkaz:
https://doaj.org/article/909c99ebdd974eb2a878b0164fd96a13
Publikováno v:
AIMS Mathematics, Vol 6, Iss 9, Pp 9222-9235 (2021)
In this manuscript, we investigate a class of second-order impulsive fractional neutral stochastic differential equations (IFNSDEs) driven by Poisson jumps in Banach space. Firstly, sufficient conditions of the existence and the uniqueness of the mil
Externí odkaz:
https://doaj.org/article/cb96076450b14b02a660f7a952d9ba60
Publikováno v:
AIMS Mathematics, Vol 6, Iss 5, Pp 4474-4491 (2021)
The aim of this manuscript is to investigate the existence of mild solution of Hilfer fractional neutral stochastic differential equations (HFNSDEs) with non-instantaneous impluses. We establish a new criteria to guarantee the sufficient conditions f
Externí odkaz:
https://doaj.org/article/aa54c740b48c471dab4c77bc2caad7f0