We dedicate this book to our family members who complete us. In particular, M. Benchohra's
dedication is to his wife, Kheira, and his children, Mohamed, Maroua, and Abdelillah; J …

In this chapter, we introduce notations, definitions, and preliminary facts that will be used in
the remainder of this book. Some notations and definitions from the fractional calculus, some …

We discuss in this paper the existence and uniqueness of solutions to the Cauchy problem
for the fractional differential equation with non local conditions Dqx (t)= f (t, x (t)), t∈[0, T], x …

In this work, the controllability result of a class of fractional evolution nonlocal impulsive
quasilinear delay integro-differential systems in a Banach space has been established by …

The study of approximate controllability results ensures the essential conditions required for
a solution. Keeping the importance of the study, we initiate the existence and approximate …

In this article, we are concerned with the existence of mild solutions as well as approximate
controllability for a class of fractional evolution equations with nonlocal conditions in Banach …

Existence and uniqueness of mild solutions to impulsive fractional differential equations -
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We are concerned in this paper with the existence of mild solutions to the Cauchy Problem
for the fractional differential equation with nonlocal conditions: D qx (t)= Ax (t)+ tnf (t, x (t), Bx …

[1 1] A. Belarbi, M. Benchohra and A. Ouahab, Existance results for funct ional different ial
equations of fractional order, Appl. Anal. 85 (2006), 1459-1 470.[1 2] M. Benchohra, JR …

In this article, we are concerned with the existence of mild solutions as well as approximate
controllability for a class of non-autonomous evolution system of parabolic type with …