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 : 94 | Download : 105

Publication Date : 2023-03-31

Article Type : Research Paper

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