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Semilinear Conformable Fractional Differential Equations in Banach Spaces
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 a...
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Published in: | Differential equations and dynamical systems 2019-01, Vol.27 (1-3), p.313-325 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | 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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ISSN: | 0971-3514 0974-6870 |
DOI: | 10.1007/s12591-018-0426-6 |