Year: 2025
Type: article
Abstract: This work addresses a class of nonlinear fractional evolution equations involving time-periodic conditions. Our objective is to investigate the existence and uniqueness of weak periodic solutions to the proposed model within an appropriate framework. We introduce a novel formulation of the fractional periodic problem, transforming it into an equivalent fixed point problem within a well-suited Banach space. Through the use of monotone operator theory and Leray Schauder's topological degree, we thoroughly examine the existence and uniqueness of weak periodic solutions to the studied models.
DOI: 10.3934/eect.2025047
Author: Abderrahim Charkaoui
Institution: Université Hassan 1er
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4411534693