Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Ramalingam Udhayakumar"'
Autor:
Sivajiganesan Sivasankar, Ramalingam Udhayakumar, Abd Elmotaleb A.M.A. Elamin, R. Samidurai, Sina Etemad, Muath Awadalla
Publikováno v:
AIMS Mathematics, Vol 9, Iss 5, Pp 11486-11510 (2024)
This paper studies the integro-differential equations of Hilfer fractional (HF) neutral stochastic evolution on an infinite interval with almost sectorial operators and their attractive solutions. We use semigroup theory, stochastic analysis, compact
Externí odkaz:
https://doaj.org/article/3ba1e52627024a8a8707ed69a0962fa5
Autor:
Sivajiganesan Sivasankar, Ramalingam Udhayakumar, Arumugam Deiveegan, Reny George, Ahmed M. Hassan, Sina Etemad
Publikováno v:
AIMS Mathematics, Vol 8, Iss 12, Pp 30374-30404 (2023)
The main aim of this work is to conduct an analysis of the approximate controllability of Hilfer fractional (HF) neutral stochastic differential systems under the condition of an almost sectorial operator with delay. The theoretical ideas linked to s
Externí odkaz:
https://doaj.org/article/6d951022b6a84579816378ddca4f8f57
Publikováno v:
Fractal and Fractional, Vol 8, Iss 6, p 342 (2024)
Under the effect of the Rosenblatt process, the well-posedness and Hyers–Ulam stability of nonlinear fractional stochastic delay systems are considered. First, depending on fixed-point theory, the existence and uniqueness of solutions are proven. N
Externí odkaz:
https://doaj.org/article/ee1654450f2747bca22d73d0879126da
Publikováno v:
Mathematics, Vol 12, Iss 11, p 1729 (2024)
Under the effect of the Rosenblatt process, time-delay systems of nonlinear stochastic delay differential equations are considered. Utilizing the delayed matrix functions and exact solutions for these systems, the existence and Hyers–Ulam stability
Externí odkaz:
https://doaj.org/article/4bf03ce4491c4e43b9644c9047086ed5
Autor:
Gunasekaran Gokul, Barakah Almarri, Sivajiganesan Sivasankar, Subramanian Velmurugan, Ramalingam Udhayakumar
Publikováno v:
Fractal and Fractional, Vol 8, Iss 5, p 265 (2024)
The purpose of this work is to investigate the controllability of non-instantaneous impulsive (NII) Hilfer fractional (HF) neutral stochastic evolution equations with a non-dense domain. We construct a new set of adequate assumptions for the existenc
Externí odkaz:
https://doaj.org/article/b4a311591a134122a57d6a3444498d68
Autor:
Varalakshmi K. Balaji, Manjunatha Narayanappa, Ramalingam Udhayakumar, Ghada AlNemer, Sumithra Ramakrishna, Gangadharaih Yeliyur Honnappa
Publikováno v:
Mathematics, Vol 11, Iss 20, p 4282 (2023)
An analytical study is conducted to examine the influence of thermal gradients and heat sources on the onset of two-component Rayleigh–Bènard (TCRB) convection using the Darcy model. The study takes into account the effects of local thermal non-eq
Externí odkaz:
https://doaj.org/article/30660a619e0d4c15b65c8d2de639ff41
Autor:
Sreedharan Raju, Raja Balachandar Sevugan, Ramalingam Udhayakumar, Ghada AlNemer, Umamaheswaran Arunachalam
Publikováno v:
Fractal and Fractional, Vol 7, Iss 10, p 741 (2023)
This article deals with the existence and uniqueness of solutions, as well as the approximate controllability of fractional neutral differential equations (ACFNDEs) with deformable derivatives. The findings are achieved using Banach’s, Krasnoselski
Externí odkaz:
https://doaj.org/article/df3d56a181e94a979ff4262cee9dd279
Autor:
Chandrabose Sindhu Varun Bose, Ramalingam Udhayakumar, Milica Savatović, Arumugam Deiveegan, Vesna Todorčević, Stojan Radenović
Publikováno v:
Fractal and Fractional, Vol 7, Iss 10, p 724 (2023)
In this study, we present a mild solution to the Hilfer fractional differential equations with infinite delay. Firstly, we establish the results on an infinite interval; to achieve this, we use the generalized Ascoli–Arzelà theorem and Mönch’s
Externí odkaz:
https://doaj.org/article/5a42804002264bffa0a2a9f913bec989
Publikováno v:
Nonlinear Analysis, Vol 28, Iss 2 (2023)
The existence of Hilfer fractional stochastic Volterra–Fredholm integro-differential inclusions via almost sectorial operators is the topic of our paper. The researchers used fractional calculus, stochastic analysis theory, and Bohnenblust–Karlin
Externí odkaz:
https://doaj.org/article/f2420e72fe074ec28fbcbac905671dd3
Approximate Controllability of Ψ-Hilfer Fractional Neutral Differential Equation with Infinite Delay
Autor:
Chandrabose Sindhu Varun Bose, Ramalingam Udhayakumar, Subramanian Velmurugan, Madhrubootham Saradha, Barakah Almarri
Publikováno v:
Fractal and Fractional, Vol 7, Iss 7, p 537 (2023)
In this paper, we explain the approximate controllability of Ψ-Hilfer fractional neutral differential equations with infinite delay. The outcome is demonstrated using the infinitesimal operator, fractional calculus, semigroup theory, and the Krasnos
Externí odkaz:
https://doaj.org/article/c145284aceb84193a6c528f970fbbadb