Nonlocal models are ubiquitous in all branches of science and engineering, with a rapidly
expanding range of mathematical and computational applications due to the ability of such …

We investigate the existence of solutions for a class of fractional evolution equations with
nonlocal initial conditions and superlinear growth nonlinear functions in Banach spaces. By …

In this paper, we consider the existence and uniqueness of mild solutions for stochastic
nonlocal evolution equations with Lévy diffusion operator and nonlocal initial conditions …

We carry out an analysis of the existence of solutions for a class of nonlinear fractional
partial differential equations of parabolic type with nonlocal initial conditions. Sufficient …

We consider evolution equations in Banach spaces. Their linear parts generate a strongly
continuous C 0-semigroup of contractions. The nonlinear term is a Carathéodory function …

We investigate the initial value problem to a class of fractional evolution equations with
superlinear growth nonlinear functions in Banach spaces. When the linear operator …

We deal with the existence of solutions having L 2-regularity for a class of non-autonomous
evolution equations. Associated with the equation, a general non-local condition is studied …

This paper is devoted to study a class of semi-linear structural damped elastic systems with
state dependent nonlocal condition on infinite intervals. Some new results about existence …

In this talk we present existence results [1] for mild solutions of the following partial
differential equation of parabolic type ut=∆ u+ h (t, x, u (t, x)) for (t, x)∈(0, T)× Ω coupled with …