Existence and uniqueness of mild solutions to initial value problems for fractional evolution equations
Abstract
The present paper deals with initial value problems for the fractional evolution equations involving the Caputo fractional derivative. By deriving a property of the three-parametric Mittag–Leffler function and using the Schauder fixed point theorem, new sufficient conditions for existence and uniqueness of mild solutions are established.
Publisher URL: https://link.springer.com/article/10.1186/s13662-018-1519-9
DOI: 10.1186/s13662-018-1519-9
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