On the nonlinear dynamical systems within the generalized fractional derivatives with Mittag

On the nonlinear dynamical systems within the generalized fractional derivatives with Mittag–Leffler kernel

Published:2018-05-26 Issue:1 Volume:94 Page:397-414
ISSN:0924-090X
Container-title:Nonlinear Dynamics
language:en
Short-container-title:Nonlinear Dyn

Author:

Baleanu Dumitru,Jajarmi Amin,Hajipour Mojtaba

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering

Link

http://link.springer.com/article/10.1007/s11071-018-4367-y/fulltext.html

Reference52 articles.

1. Podlubny, I.: Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of their Solution and some of their Applications. Academic Press, New York (1999)

2. Kilbas, A.A., Srivastava, H.H., Trujillo, J.J.: Theory and Applications of Fractional Differential Equations. Elsevier, New York (2006)

3. Hilfer, R.: Applications of Fractional Calculus in Physics. World Scientific, Singapore (2000)

4. Machado, J.A.T.: Entropy analysis of integer and fractional dynamical systems. Nonlinear Dyn. 62(1), 371–378 (2010)

5. Yang, X.J., Machado, J.A.T., Hristov, J.: Nonlinear dynamics for local fractional Burgers’ equation arising in fractal flow. Nonlinear Dyn. 84(1), 3–7 (2016)

Cited by 139 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

1. An accurate finite difference formula for the numerical solution of delay-dependent fractional optimal control problems;An International Journal of Optimization and Control: Theories & Applications (IJOCTA);2024-07-12

2. A fractional-order generalized Richards growth model and its implementation to COVID-19 data;Arab Journal of Basic and Applied Sciences;2024-06-24

3. A new COVID-19 variant Kraken: The modeling and analysis of the XBB.1.5 with treatment and immunization control factors;International Journal of Biomathematics;2024-06-01

4. THE NOVEL CONFORMABLE METHODS TO SOLVE CONFORMABLE TIME- FRACTIONAL COUPLED JAULENT-MIODEK SYSTEM;Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering;2024-03-28

5. A hybrid method to solve a fractional-order Newell–Whitehead–Segel equation;Boundary Value Problems;2024-03-18