Model of Thin Viscous Fluid Sheet Flow within the Scope of Fractional Calculus: Fractional Derivative with and No Singular Kernel

• Autorzy: Atangana A. , Koca I.

Identyfikatory

DOI

10.3233/FI-2017-1484

• Języki publikacji: EN

Abstrakty

EN

A comparative analysis of a model of thin viscous fluid sheet flow between Caputo and Caputo-Fabrizio derivative with fractional order was performed in this work. Sides-by-sides we presented some properties of both derivatives, and then we examined the existence of the exact solution of both nonlinear equations via the fixed-point theorem. A detailed study of the uniqueness of analysis for both models is presented. Numerical simulations are presented to access the difference between both models.

Słowa kluczowe

EN

Caputo derivative; Caputo-Fabrizio derivative; thin viscous fluid sheet flow model; existence of exact solution; uniqueness of exact solution

• Wydawca: IOS Press
• Czasopismo: Fundamenta Informaticae
• Rocznik: 2017
• Tom: Vol. 151, nr 1/4
• Strony: 145--159
• Opis fizyczny: Bibliogr. 14 poz., rys.

Twórcy

autor

Atangana A.

• Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, 9300, Bloemfontein, South Africa

autor

Koca I.

• Department of Mathematics, Faculty of Sciences, Mehmet Akif Ersoy University, 15100, Burdur, Turkey

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).