Using the Hilfer–Katugampola fractional derivative in initial-value Mathieu fractional differential equations with application to a particle in the plane-Reference-Cited by-同舟云学术

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

Published:2022-06-11 Issue:1 Volume:2022 Page:
ISSN:2731-4235
Container-title:Advances in Continuous and Discrete Models
language:en
Short-container-title:Adv Cont Discr Mod

Author:

Berhail Amel,Tabouche Nora,Alzabut Jehad,Samei Mohammad Esmael^ORCID

Abstract

AbstractWe 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.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13662-022-03716-6.pdf

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