Existence and Stability of Solutions for Linear and Nonlinear Damping of q-Fractional Duffing-Rayleigh Problem

被引：16

作者：

Houas, Mohamed ^{[1
]}

Samei, Mohammad Esmael ^{[2
]}

机构：

[1] Khemis Miliana Univ, Lab FIMA, UDBKM, Khemis Miliana, Algeria

[2] Bu Ali Sina Univ, Fac Basic Sci, Dept Math, Hamadan 6517838695, Iran

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2023年 / 20卷 / 03期

关键词：

Fractional q-calculus; uniqueness; existence; Duffing-Rayleigh equation; Ulam-Hyers stability; Q-DIFFERENTIAL PROBLEM; EQUATIONS; OSCILLATOR;

D O I：

10.1007/s00009-023-02355-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this current paper, using q-fractional calculus, we study the Duffing-Rayleigh type problem with sequential fractional q-derivative of the Caputo type. We investigate the existence and uniqueness of solutions by applying some classical fixed point theorems. Also we define and study the Ulam-Hyers and the Ulam-Hyers-Rassias stabilities of solutions for our problem. An example is presented to illustrate the main results.

引用

页数：28

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