This accessible monograph is devoted to a rapidly develo** 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 …

In this paper, we introduce a concept of delayed two parameters Mittag-Leffler type matrix
function, which is an extension of the classical Mittag-Leffler matrix function. With the help of …

In this paper, we discuss the existence of solutions to nonlocal initial value problem for
differential equations with Hilfer fractional derivative. To begin with, we establish an …

This paper addresses some interesting results of mild solutions to fractional evolution
systems with order α∈(1, 2) in Banach spaces as well as the controllability problem. Firstly …

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

This paper addresses the existence and uniqueness of mild solutions to the Navier–Stokes
equations with time fractional differential operator of order α∈(0, 1). Several interesting …

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 …

In this paper, we study the nonlocal Cauchy problems of fractional evolution equations with
Riemann-Liouville derivative by considering an integral equation which is given in terms of …

In this paper, we consider a class of evolution equations with Hilfer fractional derivative. By
employing the fixed point theorem and the noncompact measure method, we establish a …