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Title
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Investigation of the Generalized Proportional Langevin and Sturm–Liouville Fractional Differential Equations via Variable CoefficientsandAntiperiodicBoundaryConditions with a Control Theory Application Arising from Complex Networks
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Type
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JournalPaper
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Keywords
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Arzel´a–Ascoli fixed point theorem; fixed-point theorem of M¨onch; proportional fractional differential equations
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Abstract
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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 M¨onch. Also, we use Lebesgue’s dominated convergence theorem and Arzel´a–Ascoli fixed point theorem on existence and uniqueness results. An application is also presented by employing two illustrative iks, which enrich our outcomes
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Researchers
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Xiao-Guang Yue (Fifth Researcher), Zailan Siri (Third Researcher), Mohammed K. A. Kaabar (Second Researcher), Abdelatif Boutiara (First Researcher), Mohammad Esmael Samei (Fourth Researcher)
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