Neglecting nonlocality leads to unrealistic numerical scheme for fractional differential equation: Fake and manipulated results

DOI10.1063/1.5085661zbMath1467.65078OpenAlexW2911289535WikidataQ91308832 ScholiaQ91308832MaRDI QIDQ4622755

Muhammad Altaf Khan

Publication date: 13 February 2019

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5085661

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65L99) Fractional ordinary differential equations (34A08)

Related Items (2)

Retraction: “Neglecting nonlocality leads to unrealistic numerical scheme for fractional differential equation: Fake and manipulated results” [Chaos 29, 013144 (2019)] ⋮ Application of Caputo-Fabrizio derivative to a cancer model with unknown parameters

Cites Work

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• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Chaos in a 5-D hyperchaotic system with four wings in the light of non-local and non-singular fractional derivatives
• Stability analysis and optimal control of a fractional human African trypanosomiasis model
• Neglecting nonlocality leads to unreliable numerical methods for fractional differential equations
• On linear stability of predictor–corrector algorithms for fractional differential equations
• New numerical approach for fractional differential equations

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