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Title
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Using the Hilfer–Katugampola fractional derivative in initial-value Mathieu fractional differential equations with application to a particle in the plane
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Type
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JournalPaper
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Keywords
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Nonlinear fractional; Mathieu equations; Stability
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Abstract
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We examine a class of nonlinear fractional Mathieu equations with a damping term. The equation is an important equation of mathematical physics as it has many applications in various fields of the physical sciences. By utilizing Schauder’s fixed-point theorem, the existence arises of solutions for the proposed equation with the Hilfer–Katugampola fractional derivative, and an application is additionally examined. Two examples guarantee the obtained results.
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Researchers
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Nora Tabouche (Second Researcher), Jehad Alzabut (Third Researcher), Amel Berhail (First Researcher), Mohammad Esmael Samei (Fourth Researcher)
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