Existence of mild solutions for fractional neutral evolution equations. (English) Zbl 1189.34154

Summary: By using the fractional power of operators and some fixed point theorems, we discuss a class of fractional neutral evolution equations with nonlocal conditions and obtain various criteria on the existence and uniqueness of mild solutions. In the end, we give an example to illustrate the applications of the abstract results.


34K37 Functional-differential equations with fractional derivatives
26A33 Fractional derivatives and integrals
34K40 Neutral functional-differential equations
45J05 Integro-ordinary differential equations
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