Author:
Abdelnebi Amira,Dahmani Zoubir
Abstract
The subject of this paper is the existence, uniqueness and stability of solutions for a new sequential Van der Pol–Duffing (VdPD) jerk fractional differential oscillator with Caputo–Hadamard derivatives. The arguments are based upon the Banach contraction principle, Krasnoselskii fixed-point theorem and Ulam–Hyers stabilities. As applications, one illustrative example is included to show the applicability of our results.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference31 articles.
1. The application of Duffing oscillator in weak signal detection;Abolfazl;ECTI Trans. Electr. Eng. Electron. Commun.,2011
2. Chaos control using small-amplitude damping signals
3. Solution to nonlinear Duffing Oscillator with fractional derivatives using Homotopy Analysis Method (HAM);Ejikeme;Glob. J. Pure Appl. Math.,2018
4. Stability analysis of a strongly displacement time delayed Duffing oscillator using multiple scales homotopy perturbation method;Dib;J. Appl. Comput. Mech.,2018
5. Dynamic behavior of fractional order Duffing chaotic system and its synchronization via singly active control
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献