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

被引：9
|
作者：
Berhail, Amel [1 ]
Tabouche, Nora [1 ]
Alzabut, Jehad [2 ,3 ]
Samei, Mohammad Esmael [4 ]
机构：
[1] 08 May 1945 Univ, Dept Math, Guelma, Algeria
[2] Prince Sultan Univ, Dept Math & Sci, Riyadh 11586, Saudi Arabia
[3] OSTIM Tech Univ, Dept Ind Engn, TR-06374 Ankara, Turkey
[4] Bu Ali Sina Univ, Dept Math, Hamadan, Hamadan, Iran
来源：
ADVANCES IN CONTINUOUS AND DISCRETE MODELS | 2022年 / 2022卷 / 01期
关键词：
Nonlinear fractional; Mathieu equations; Stability; EVOLUTION;
D O I：
10.1186/s13662-022-03716-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
下载
收藏
页数：32
相关论文
共 50 条
  • [1] 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
    Mohammad Esmael Samei
    Advances in Continuous and Discrete Models, 2022
  • [2] Terminal Value Problem for Differential Equations with Hilfer-Katugampola Fractional Derivative
    Benchohra, Mouffak
    Bouriah, Soufyane
    Nieto, Juan J.
    SYMMETRY-BASEL, 2019, 11 (05):
  • [3] Terminal value problem for neutral fractional functional differential equations with Hilfer-Katugampola fractional derivative
    Bouriah, Soufyane
    Benchohra, Mouffak
    Ozyurt, Selma Gulyaz
    FILOMAT, 2023, 37 (21) : 7131 - 7147
  • [4] On the controllability of Hilfer-Katugampola fractional differential equations
    Abbas, Mohamed, I
    ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, 2020, 24 (02): : 195 - 204
  • [5] Ulam stability for nonlocal differential equations involving the Hilfer-Katugampola fractional derivative
    Benchohra, Mouffak
    Bouriah, Soufyane
    Henderson, Johnny
    AFRIKA MATEMATIKA, 2021, 32 (5-6) : 829 - 851
  • [6] ON THE EXISTENCE AND STABILITY OF BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH HILFER-KATUGAMPOLA FRACTIONAL DERIVATIVE
    E.M.ELSAYED
    S.HARIKRISHNAN
    K.KANAGARAJAN
    Acta Mathematica Scientia, 2019, 39 (06) : 1568 - 1578
  • [7] On the Existence and Stability of Boundary Value Problem for Differential Equation with Hilfer-Katugampola Fractional Derivative
    Elsayed, E. M.
    Harikrishnan, S.
    Kanagarajan, K.
    ACTA MATHEMATICA SCIENTIA, 2019, 39 (06) : 1568 - 1578
  • [8] On the Existence and Stability of Boundary Value Problem for Differential Equation with Hilfer-Katugampola Fractional Derivative
    E. M. Elsayed
    S. Harikrishnan
    K. Kanagarajan
    Acta Mathematica Scientia, 2019, 39 : 1568 - 1578
  • [9] Existence and uniqueness for fuzzy differential equation with Hilfer-Katugampola fractional derivative
    Chen, Xingru
    Gu, Haibo
    Wang, Xingzhao
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [10] On the Generalization of κ-Fractional Hilfer-Katugampola Derivative with Cauchy Problem
    NAZ, Samaira
    NAEEM, Muhammad Nawaz
    TURKISH JOURNAL OF MATHEMATICS, 2021, 45 (01) : 110 - 124
12345