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

被引：0
|
作者：
Amel Berhail
Nora Tabouche
Jehad Alzabut
Mohammad Esmael Samei
机构：
[1] 08 May 1945 University,Department of Mathematics
[2] Prince Sultan University,Department of Mathematics and Sciences
[3] OSTİM Technical University,Department of Industrial Engineering
[4] Bu-Ali Sina University,Department of Mathematics
来源：
Advances in Continuous and Discrete Models | / 2022卷
关键词：
Nonlinear fractional; Mathieu equations; Stability; 26A33; 34A08; 39A12;
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摘要：
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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