Abstract
We introduce the concept of a mild solution of conformable fractional abstract initial value problem. We establish the existence and uniqueness theorem using the contraction principle. As a regularity result for a linear problem, we show that the mild solution is in fact a strong solution. We give an example to demonstrate the applicability of the established theoretical results.
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The authors would like to thanks the referees for their valuable comments and suggestions which have considerably improved our original manuscript.
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Jaiswal, A., Bahuguna, D. Semilinear Conformable Fractional Differential Equations in Banach Spaces. Differ Equ Dyn Syst 27, 313–325 (2019). https://doi.org/10.1007/s12591-018-0426-6
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DOI: https://doi.org/10.1007/s12591-018-0426-6