Controllability of nonlocal non-autonomous neutral differential systems including non-instantaneous impulsive effects in 𝕉n

Velusamy Kavitha 1 , Mani Mallika Arjunan 2 ,Β and Dumitru Baleanu 3
  • 1 Department of Mathematics, School of Sciences, Arts, Media & Management, Karunya Institute of Technology and Sciences, Karunya Nagar, Coimbatore, India
  • 2 Department of Mathematics, Vel Tech High Tech Dr. Rangarajan Dr. Sakunthala Engineering College, Avadi, Chennai-600062, Tamil Nadu, India
  • 3 Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University, Institute of Space Sciences, , 06530, Ankara, Turkey

Abstract

This manuscript involves a class of first-order controllability results for nonlocal non-autonomous neutral differential systems with non-instantaneous impulses in the space 𝕉n. Sufficient conditions guaranteeing the controllability of mild solutions are set up. Concept of evolution family and Rothe’s fixed point theorem are employed to achieve the required results. A model is investigated to delineate the adequacy of the results.

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