In this study, we investigate the intial value problem (IVP) for a time-fractional fourth-order
equation with nonlinear source terms. More specifically, we consider the time-fractional …

This article is a comparative study on an initial-boundary value problem for a class of
semilinear pseudo-parabolic equations with the fractional Caputo derivative, also called the …

This paper considers two problems: the initial boundary value problem of nonlinear Caputo
time-fractional pseudo-parabolic equations with fractional Laplacian, and the Cauchy …

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 addresses the exponential stability of the trivial solution of some types of
evolution equations driven by Hölder continuous functions with Hölder index greater than …

In this paper, we study the continuity problem by an order of derivative for conformable
parabolic equations. The problem is examined in both the linear and nonlinear cases. For …

We consider the stochastic evolution equation du=Audt+G(u)dω,\quadu(0)=u_0 in a
separable Hilbert space V. Here G is supposed to be three times Fréchet-differentiable and …

The main goal of this article is to prove the existence of a random attractor for a stochastic
evolution equation driven by a fractional Brownian motion with Hurst parameter H∈(1/2,1) …

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 the initial boundary value problem of the pseudo-parabolic equation
with a conformable derivative. We focus on investigating the existence of the global solution …