The Existence of the classical and strong solutions for fractional impulsive semilinear integro differential equations

  • D Senthil Raja K.S.Rangasamy College of Technology,\ Tiruchengode - 637 215,\ Tamil Nadu,\ India
  • P Sundararajan Arignar Anna Government Arts College,\ Namakkal - 637 002,\ Tamil Nadu,\ India.
  • Dimplekumar N. Chalishajar VMI
  • K Karthikeyan KPR Institute of Engineering and Technology,\ Coimbatore - 641 407,\ Tamil Nadu,\ India

Abstract

We prove the existence and uniqueness of classical and strong solutions of a fractional Impulsive semilinear evolution using the method of a semigroup and the Banach fixed theorem. 

Author Biographies

D Senthil Raja, K.S.Rangasamy College of Technology,\ Tiruchengode - 637 215,\ Tamil Nadu,\ India

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P Sundararajan, Arignar Anna Government Arts College,\ Namakkal - 637 002,\ Tamil Nadu,\ India.

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Published
2023-02-16