Controllability of a class of conformable fractional differential system

Abstract

The controllability of a class of conformable fractional differential system with a non-densely defined linear part satisfying Hille-Yosida condition, is discussed. The existence of mild solution and controllability is established by Banach-fixed point theorem for the system with non-local conditions and control term appearing also in the nonlinear part. An example is discussed to illustrate the results.

Keywords:

• Non-dense operator
• deviated argument
• non-local conditions
• conformable fractional differential equation
• controllability

Acknowledgements

The author expresses sincere gratitude to Mahindra University for its support and to the reviewers for their valuable comments.

Disclosure statement

No potential conflict of interest was reported by the author.

Additional information

Notes on contributors

Sanjukta Das

Sanjukta Das is an Assistant Professor at the Faculty of Mathematics, Ecole Centrale School of Engineering in Mahindra University, India.