A NEW NUMERICAL METHOD FOR SOLVING FRACTIONAL NEW NUMERICAL METHOD FOR SOLVING FRACTIONAL DIFFERENTIAL EQUATIONS IN THE SENSE OF CAPUTO-FABRIZIO DERIVATIVE

DOI10.22190/FUMI210105006MOpenAlexW4312835360WikidataQ115230221 ScholiaQ115230221MaRDI QIDQ5074920

Leila Moghadam Dizaj Herik, Mahmoud Shafiee, Mohammad Javidi

Publication date: 10 May 2022

Published in: Facta Universitatis, Series: Mathematics and Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22190/fumi210105006m

zbMATH Keywords

interpolationfractional differential equationCaputo-Fabrizio fractional derivativenon-singular kernel

Mathematics Subject Classification ID

Numerical differentiation (65D25) Fractional ordinary differential equations (34A08) Numerical analysis (65-XX)

Cites Work

• Unnamed Item
• A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
• Bernoulli wavelet method for numerical solution of anomalous infiltration and diffusion modeling by nonlinear fractional differential equations of variable order
• A fractional order alcoholism model via Caputo-Fabrizio derivative
• Trapezoidal methods for fractional differential equations: theoretical and computational aspects
• APPLICATION OF THE CAPUTO-FABRIZIO FRACTIONAL DERIVATIVE WITHOUT SINGULAR KERNEL TO KORTEWEG-DE VRIES-BURGERS EQUATION∗