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 …

The paper is concerned with existence of mild solution of evolution equation with Hilfer
fractional derivative which generalized the famous Riemann–Liouville fractional derivative …

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

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 …

Mathematical Oncology investigates cancer-related phenomena through mathematical
models as comprehensive as possible. Accordingly, an interdisciplinary approach involving …

In this paper, we prove the existence and controllability results for fractional semilinear
differential inclusions involving the Caputo derivative in Banach spaces. The results are …

In this paper, we deal with the control systems governed by fractional evolution differential
equations involving Riemann--Liouville fractional derivatives in Banach spaces. Our main …

This article deals with the existence of solutions of nonlinear fractional pantograph
equations. Such model can be considered suitable to be applied when the corresponding …

This paper is concerned with the formula of mild solutions to impulsive fractional evolution
equation. For linear fractional impulsive evolution equations [8–25, 27, 30, 31], described …