Browsing by Author "Mabrouk, Bragdi"

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    On the theory and Applications of Fractional differntial equations
    (Oum-El-Bouaghi university, 2013) Mabrouk, Bragdi; Hazi, Mohammed
    In this work we consider two type of fractional abstract differential equations. The purpose of the first part is to extend the classical results (existence, uniqueness, regularity of solution and controllability) of ordinary abstract evolution equations to fractional abstract quasilinear equations. In the second part we study existence, uniqueness and controllability of nonlinear control system governed by a semilinear differential inclusion. For completeness, these results are derived using resolvent operators, family resolvent operators, almost sectorial operators theory, fixed point theorems as well as fractional calculus.