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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主要な著者: Boutiara, Abdellatif, Kaabar, Mohammed K. A., Siri, Zailan, Samei, Mohammad Esmael, Yue, Xiao-Guang
フォーマット: 論文
出版事項: Mathematical Problems in Engineering 2022
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オンライン・アクセス:http://eprints.um.edu.my/42877/
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要約: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.