This accessible monograph is devoted to a rapidly developing area on the research of
qualitative theory of fractional ordinary differential equations and evolution equations. It is …

Fractional evolution inclusions are an important form of differential inclusions within
nonlinear mathematical analysis. They are generalizations of the much more widely …

Although mathematics ranks last in the Six Arts (rites, music, archery, chariot racing,
calligraphy and mathematics), it is used in the most practical issues and affairs. Maximally, it …

Of concern are the Cauchy problems for linear and semilinear time fractional evolution
equations involving in the linear part, a linear operator A whose resolvent satisfies the …

The theory of linear Volterra Integro-differental equations has been developing rapidly in the
last three decades. This book provides an easy-to-read, concise introduction to the theory of …

In this article we consider an abstract Cauchy problem with the Hilfer fractional derivative
and an almost sectorial operator. We introduce a suitable definition of a mild solution for this …

In this paper, we initiate the question of the attractivity of solutions for fractional evolution
equations with almost sectorial operators. We establish sufficient conditions for the existence …

This paper concerns the abstract Cauchy problem of fractional evolution equations with
almost sectorial operators. The suitable mild solutions of evolution equations with Riemann …

In this article, we investigate the existence of the mild solutions and controllability of nonlocal
fractional dynamical system with almost sectorial operator. The dynamical system under …

In this paper we study the solvability and asymptotic dynamics of a nonautonomous
semilinear reaction–diffusion equation in a domain with a handle Ω 0= Ω∪ R 0, formed by …