Coupled systems of subdifferential type with integral perturbation and fractional differential equations

Abstract

This paper is mainly devoted to study a class of first-order differential inclusions governed by time-dependent subdifferential operators involving an integral perturbation. Employing then the constructive method used there, we also handle the associated second-order differential inclusion.
 Our final topic, accomplished in infinite-dimensional Hilbert spaces, is to develop some variants related to coupled systems by such differential inclusions and fractional differential equations.

On a class of evolution problems driven by maximal monotone operators with integral perturbation

“…More recently, differential inclusions with integral perturbation involving m-accretive operators or subdifferentials or time-dependent maximal monotone operators have been studied in [4,13,14]. The aforementioned contributions find many areas of applications such as electrical circuits, nonlinear integro-differential complementarity systems, optimal control, fractional systems, etc.…”