Journal of Applied and Pure Mathematics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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EXISTENCE AND CONTROLLABILITY OF IMPULSIVE FRACTIONAL NEUTRAL INTEGRO-DIFFERENTIAL EQUATION WITH STATE DEPENDENT INFINITE DELAY VIA SECTORIAL OPERATOR

  • MALAR, K. (Department of Mathematics, Erode Arts and Science College) ;
  • ILAVARASI, R. (Department of Mathematics, Erode Arts and Science College) ;
  • CHALISHAJAR, D.N. (Department of Applied Mathematics, Virginia Military Institute (VMI))
  • Received : 2022.01.20
  • Accepted : 2022.06.30
  • Published : 2022.07.30
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Abstract

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.

Keywords

Acknowledgement

Authors would like to thank the referees and the editor for their careful comments and valuable suggestions to improve this work.

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