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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
Journal article   Open access  Peer reviewed

Using the Hilfer-Katugampola fractional derivative in initial-value Mathieu fractional differential equations with application to a particle in the plane

Amel Berhail, Nora Tabouche, Jehad Alzabut and Mohammad Esmael Samei
ADVANCES IN CONTINUOUS AND DISCRETE MODELS, Vol.2022(1)
11/06/2022
DOI: https://doi.org/10.1186/s13662-022-03716-6

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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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https://doi.org/10.1186/s13662-022-03716-6View
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