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

Year 2023, , 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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