In this article, we consider a class of fractional non-autonomous integro-differential evolution
equation of Volterra type in a Banach space E, where the operators in linear part (possibly …

In this paper, we study a nonlinear time-fractional Volterra equation with nonsingular Mittag-
Leffler kernel in Hilbert spaces. By applying the properties of Mittag-Leffler functions and the …

This paper is concerned with the local and global existence of mild solution for an impulsive
fractional functional integro differential equations with nonlocal condition. We establish a …

This paper investigates the approximate controllability and optimal controls of fractional
dynamical systems of order 1< q< 2 1<q<2 in Banach spaces. We research a class of …

In this paper, we consider the time-fractional Volterra integrodifferential equations with
Caputo derivative. For globally Lispchitz source term, we investigate the global existence for …

In this paper, we study local and global existence of mild solution for an impulsive fractional
functional integro differential equation with non-compact semi-group in Banach spaces. We …

In this paper, the local and global existence of mild solutions are studied for impulsive
fractional semilinear stochastic differential equation with nonlocal condition in a Hilbert …

In this article, the well-known monotone iterative technique is extended for impulsive
fractional evolution equations. Under some monotone conditions and noncompactness …

In this paper, we deal with a class of nonlinear Sobolev type fractional integro-differential
equations with delay using Hilfer fractional derivative, which generalized the famous …

In this paper, we discuss a class of Caputo fractional evolution equations on Banach space
with feedback control constraint whose value is non-convex closed in the control space …