The existence of mild solutions for a class of Riemann-Liouville fractional semilinear evolution equations in Banach space is proved by utilizing the cosine family theory of linear operators and Schauder's fixed point theorem.The approximate controllability result is also established for the related control systems.An example is given to illustrate the application of abstract conclusions in the end.
fractional evolution equationmild solutionapproximate controllabilitycosine family
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