Fractional integrated semi groups and nonlocal Cauchy problem for abstract nonlinear fractional differential equations

Mahmoud Mohammed El-Borai, Khairia El-Said El-Nadi

Abstract


Some classes of fractional abstract differential equations with ?-integrated semi groups are studied in Banach space. The existence of a unique solution of the nonlocal Cauchy problem is studied. Some properties are given.


Keywords


?-Integrated semi groups-Nonlinear fractional abstract differential equations- Nonlocal Cauchy problem.

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