A new numerical fractional differentiation formula to approximate the Caputo-Fabrizio fractional derivative: error analysis and stability
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Publication:5076623
DOI10.22034/cmde.2020.37595.1664OpenAlexW3137458348MaRDI QIDQ5076623
Mohammad Javidi, Leila Moghadam Dizaj Herik, Mahmoud Shafiee
Publication date: 17 May 2022
Full work available at URL: https://cmde.tabrizu.ac.ir/article_12222_15d23f55023bad7f5d3e72786e5ddd30.pdf
stabilitynumerical methodserror analysisfractional differential equationCaputo-Fabrizio fractional derivative
Numerical approximation and evaluation of special functions (33F05) Fractional ordinary differential equations (34A08) Numerical analysis (65-XX)
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Cites Work
- Stability analysis of fractional differential systems with order lying in \((1, 2)\)
- Fractional calculus and its applications. Proceedings of the international conference held at the University of New Haven, June 1974
- A novel high-order algorithm for the numerical estimation of fractional differential equations
- Chaos analysis and asymptotic stability of generalized Caputo fractional differential equations
- Analysis and application of new fractional Adams-Bashforth scheme with Caputo-Fabrizio derivative
- Stability analysis of fractional-order nonlinear systems with delay
- Finite difference methods with non-uniform meshes for nonlinear fractional differential equations
- Caputo type fractional differential equations with nonlocal Riemann-Liouville integral boundary conditions
- Fractional Calculus: Integral and Differential Equations of Fractional Order
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