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

Year 2023, Volume: 7 Issue: 1, 253 - 271, 31.03.2023

Aya Bouabsa Soumia Saıdı

https://doi.org/10.31197/atnaa.1149751

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.

Keywords

Differential inclusion , subdifferential operator , integral perturbation , fixed point , fractional derivative

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