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Nonlocal Cauchy problem for fractional evolution equations. (English) Zbl 1260.34017
Summary: The nonlocal Cauchy problem is discussed for fractional evolution equations in an arbitrary Banach space and various criteria for the existence and uniqueness of mild solutions are obtained. An example to illustrate the applications of main results is also given.
MSC:
34A08Fractional differential equations
34A12Initial value problems for ODE, existence, uniqueness, etc. of solutions
34G20Nonlinear ODE in abstract spaces
34B10Nonlocal and multipoint boundary value problems for ODE