Investigation of the generalized proportional langevin and sturm-liouville fractional differential equations via variable coefficients and antiperiodic boundary conditions with a Control Theory Application Arising from Complex Networks

Boutiara, Abdellatif and Kaabar, Mohammed K. A. and Siri, Zailan and Samei, Mohammad Esmael and Yue, Xiao-Guang (2022) Investigation of the generalized proportional langevin and sturm-liouville fractional differential equations via variable coefficients and antiperiodic boundary conditions with a Control Theory Application Arising from Complex Networks. Mathematical Problems in Engineering, 2022. ISSN 1024-123X, DOI https://doi.org/10.1155/2022/7018170.

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Abstract

This article studies the existence theory of an innovation type of generalized proportional fractional differential equations with the assistance of the technique of Kuratowski measure on noncompactness combined with the fixed-point theorem of Monch. Also, we use Lebesgue's dominated convergence theorem and Arzela-Ascoli fixed point theorem on existence and uniqueness results. An application is also presented by employing two illustrative iks, which enrich our outcomes.

Item Type: Article
Funders: None
Uncontrolled Keywords: Generalized Proportional Langevin; Sturm-Liouville; Antiperiodic Boundary
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
Divisions: Faculty of Science > Institute of Mathematical Sciences
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 06 Oct 2023 04:18
Last Modified: 06 Oct 2023 07:05
URI: http://eprints.um.edu.my/id/eprint/42877

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