This paper proposes a Crank-Nicolson alternating direction implicit (CN-ADI) finite
difference scheme for solving the three-dimensional nonlocal evolution equation with multi …

In this paper, we study a class of fractional semilinear integro-differential equations of order
β∈(1, 2] with nonlocal conditions. By using the solution operator, measure of …

In this article, we study the existence of piecewise-continuous mild solutions for the initial
value problems for a class of semilinear evolution equations. These equations have non …

In this paper, we are concerned with nonlocal problem for fractional evolution equations with
mixed monotone nonlocal term of the form\left {^ CD^ q _tu (t)+ Au (t)= f (t, u (t), u (t)),\quad t …

In this article, we investigate the orbital Hausdorff continuous dependence of the solutions to
integer order and fractional nonlinear non-instantaneous differential equations. The concept …

In this paper, we study the initial value problem to a class of non-autonomous parabolic
evolution equations with non-instantaneous impulses in Banach spaces, where the …

In this article, we study asymptotic and smooth properties of solutions to nonlinear non-
instantaneous impulsive differential equations involving parameters of integer order and …

In this article, the existence and uniqueness of generalized nonlinear impulsive evolution
equation is derived. The proposed system is modeled with nonlinear perturbed force which …

In this paper, we mainly study the existence, uniqueness, and conditional stability of
bounded and periodic solutions for a class of noninstantaneous impulsive linear and …

In this paper, we study the Cauchy problem to a class of non-autonomous evolution
equations of parabolic type with non-instantaneous impulses in Banach spaces, where the …