- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 7 Issue: 1
- Coupled systems of subdifferential type with integral perturbation and fractional differential equat...
Coupled systems of subdifferential type with integral perturbation and fractional differential equations
Authors : Aya BOUABSA, Soumia SAIDI
Pages : 253-271
Doi:10.31197/atnaa.1149751
View : 79 | Download : 98
Publication Date : 2023-03-31
Article Type : Research Article
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