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K. Malar,R. Ilavarasi,Dimplekumar Chalishajar 한국전산응용수학회 2022 Journal of Applied and Pure Mathematics Vol.4 No.3
In the article, we handle with the existence and controllability results for fractional impulsive neutral functional integro-differential equation in Banach spaces. We have used advanced phase space definition for infinite delay. State dependent infinite delay is the main motivation using advanced version of phase space. The results are acquired using Schaefer's fixed point theorem. Examples are given to illustrate the theory.
MALAR, K.,GOWRISANKAR, C. The Korean Society for Computational and Applied M 2022 Journal of applied mathematics & informatics Vol.40 No.5-6
This paper focuses on the existence and uniqueness outcome for fractional integro-differential equation (FIDE) among impulsive edge condition and Hyers-Ulam-Rassias Stability (HURS) by using fractional calculus and some fixed point theorem in some weak conditions. The outcome procured in this paper upgrade and perpetuate some studied solutions.
MALAR, K.,ILAVARASI, R.,CHALISHAJAR, D.N. The Korean Society for Computational and Applied M 2022 Journal of applied and pure mathematics Vol.4 No.3/4
In the article, we handle with the existence and controllability results for fractional impulsive neutral functional integro-differential equation in Banach spaces. We have used advanced phase space definition for infinite delay. State dependent infinite delay is the main motivation using advanced version of phase space. The results are acquired using Schaefer's fixed point theorem. Examples are given to illustrate the theory.
Dimplekumar Chalishajar,A. Anguraj,K. Ravikumar,K. Malar 한국전산응용수학회 2022 Journal of Applied and Pure Mathematics Vol.4 No.5
This manuscript deals with the exact (complete) controllability of semilinear stochastic differential equations with infinite delay and Poisson jumps utilizing some basic and readily verified conditions. The results are obtained by using fixed-point approach and by using advance phase space definition for infinite delay part. We have used the axiomatic definition of the phase space in terms of stochastic process to consider the time delay of the system. An infinite delay along with the Poisson jump is the new investigation for the given stochastic system. An example is given to illustrate the effectiveness of the results.
D.N., CHALISHAJAR,A., ANGURAJ,K., RAVIKUMAR,K., MALAR The Korean Society for Computational and Applied M 2022 Journal of applied and pure mathematics Vol.4 No.5
This manuscript deals with the exact (complete) controllability of semilinear stochastic differential equations with infinite delay and Poisson jumps utilizing some basic and readily verified conditions. The results are obtained by using fixed-point approach and by using advance phase space definition for infinite delay part. We have used the axiomatic definition of the phase space in terms of stochastic process to consider the time delay of the system. An infinite delay along with the Poisson jump is the new investigation for the given stochastic system. An example is given to illustrate the effectiveness of the results.