A new numerical technique for solving fractional Bratu’s initial value problems in the Caputo and Caputo-Fabrizio sense

• Autorzy: Khalouta Ali , Kadem Abdelouahab

Identyfikatory

DOI

10.17512/jamcm.2020.1.04

• Języki publikacji: EN

Abstrakty

EN

The purpose of this paper is to propose a new numerical technique called the natural decomposition method (NDM) for solving fractional Bratu’s initial value problems (FBIVP) in the Caputo and Caputo-Fabrizio sense. The NDM is a combined form of the natural transform method and the Adomian decomposition method. The numerical example is provided in order to validate the efficiency and reliability of the proposed method. The obtained results reveal that the proposed method is a very efficient and simple tool for solving fractional differential equations.

Słowa kluczowe

EN

fractional Bratu’s initial value problem; Caputo fractional derivative; Caputo-Fabrizio fractional derivative; natural transform method; Adomian decomposition method

PL

ułamkowa pochodna Caputo; ułamkowa pochodna Caputo-Fabrizio; metoda transformacji naturalnej; metoda dekompozycji Adomiana

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2020
• Tom: Vol. 19, nr 1
• Strony: 43--56
• Opis fizyczny: Bibliogr. 25 poz., rys., tab.

Twórcy

autor

Khalouta Ali

• Laboratory of Fundamental and Numerical Mathematics Departement of Mathematics, Faculty of Sciences Ferhat Abbas S´etif University 1, 19000 S´etif, Algeria

autor

Kadem Abdelouahab

• Laboratory of Fundamental and Numerical Mathematics Departement of Mathematics, Faculty of Sciences Ferhat Abbas S´etif University 1, 19000 S´etif, Algeria

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).