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Zbl 1189.34154
Zhou, Yong; Jiao, Feng
Existence of mild solutions for fractional neutral evolution equations. (English)
[J] Comput. Math. Appl. 59, No. 3, 1063-1077 (2010). ISSN 0898-1221

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.
MSC 2000:
*34K37
26A33 Fractional derivatives and integrals (real functions)
34K40 Neutral equations
45J05 Integro-ordinary differential equations

Keywords: fractional neutral evolution equations; nonlocal Cauchy problem; mild solution; analytic semigroup; Laplace transform; probability density

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