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.
Acknowledgements
The author expresses sincere gratitude to Mahindra University for its support and to the reviewers for their valuable comments.
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No potential conflict of interest was reported by the author.
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Sanjukta Das
Sanjukta Das is an Assistant Professor at the Faculty of Mathematics, Ecole Centrale School of Engineering in Mahindra University, India.