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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

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 convergenc...

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Main Authors: Boutiara, Abdellatif, Kaabar, Mohammed K. A., Siri, Zailan, Samei, Mohammad Esmael, Yue, Xiao-Guang
Format: Article
Published: Mathematical Problems in Engineering 2022
Subjects:
Q Science (General)
QA Mathematics
Online Access:http://eprints.um.edu.my/42877/
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spelling my.um.eprints.428772023-10-06T07:05:59Z http://eprints.um.edu.my/42877/ 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 Kaabar, Mohammed K. A. Siri, Zailan Samei, Mohammad Esmael Yue, Xiao-Guang Q Science (General) QA Mathematics 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. Mathematical Problems in Engineering 2022-04 Article PeerReviewed 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 <https://doi.org/10.1155/2022/7018170>. 10.1155/2022/7018170
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic Q Science (General)
QA Mathematics
spellingShingle Q Science (General)
QA Mathematics
Boutiara, Abdellatif
Kaabar, Mohammed K. A.
Siri, Zailan
Samei, Mohammad Esmael
Yue, Xiao-Guang
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
description 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.
format Article
author Boutiara, Abdellatif
Kaabar, Mohammed K. A.
Siri, Zailan
Samei, Mohammad Esmael
Yue, Xiao-Guang
author_facet Boutiara, Abdellatif
Kaabar, Mohammed K. A.
Siri, Zailan
Samei, Mohammad Esmael
Yue, Xiao-Guang
author_sort Boutiara, Abdellatif
title 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
title_short 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
title_full 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
title_fullStr 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
title_full_unstemmed 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
title_sort 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
publisher Mathematical Problems in Engineering
publishDate 2022
url http://eprints.um.edu.my/42877/
_version_ 1781704655676375040
score 13.153044

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