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

Open Access

Original research article

Author(s):

Aya Bouabsa, Soumia Saïdi

LMFA Laboratory, Department of Mathematics, Mohammed Seddik Benyahia University, Jijel, Algeria.

Advances in the Theory of Nonlinear Analysis and its Applications 9(1), 253-271.

Received: July 27, 2022

Accepted: January 23, 2023

Published: March 9, 2023

Abstract

This paper is mainly devoted to studying a class of first-order differential inclusions governed by time-dependent subdifferential operators involving an integral perturbation. 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, second-order, fixed point, coupled fractional derivative.

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APA Style

Bouabsa, A., & Saıdı, S. (2023). Coupled systems of subdifferential type with integral perturbation and fractional differential equations. Advances in the Theory of Nonlinear Analysis and its Application, 7(1), 253-271.