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 asymptotically periodic problem for the abstract fractional
evolution equation under order conditions and growth conditions. Without assuming the …

This paper is mainly focused upon the pseudo S-asymptotically Bloch type periodicity and its
applications. Firstly, a new notion of pseudo S-asymptotically Bloch type periodic functions is …

In this paper, we present a new method for converting boundary value problems of impulsive
fractional differential equations to integral equations. Applications of this method are given to …

This paper is mainly concerned with the S-asymptotically Bloch type periodicity. Firstly, we
introduce a new notion of S-asymptotically Bloch type periodic functions, which can be seen …

This paper deals with the existence and uniqueness of periodic solutions, S‐asymptotically
periodic solutions, and other types of bounded solutions for some fractional evolution …

The main objective of this paper is to prove the existence and uniqueness of mild solution for
abstract differential equations by using the resolvent operators and fixed point theorem …

Firstly we prove existence and uniqueness of solutions of Cauchy problems of linear
fractional differential equations (LFDEs) with two variable coefficients involving Caputo …

In this paper, we mainly introduce some new notions of generalized Bloch type periodic
functions namely pseudo Bloch type periodic functions and weighted pseudo Bloch type …

In this paper, we derive the existence and uniqueness of mild solutions for inhomogeneous
fractional evolution equations in Banach spaces by means of the method of fractional …