Numerical study of multi-order fractional differential equations with constant and variable coefficients

Autor:	Imran Talib, Ali Raza, Abdon Atangana, Muhammad Bilal Riaz
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	Multi-order fractional differential equations operational matrices shifted Legendre polynomials Caputo derivative Paraskevopoulos's method 65M99 Science (General) Q1-390
Zdroj:	Journal of Taibah University for Science, Vol 16, Iss 1, Pp 608-620 (2022)
Druh dokumentu:	article
ISSN:	16583655 1658-3655
DOI:	10.1080/16583655.2022.2089831
Popis:	In this manuscript, a numerical method based on the conjunction of Paraskevopoulos's algorithm and operational matrices is developed to solve numerically the multi-order linear and nonlinear fractional differential equations. By means of this conjunction, the multi-order problem is decomposed into a system of differential equations of fractional order which are then solved by employing operational matrices approach. The accuracy and efficiency of the method is examined by taking some examples. In addition, the numerical results presented in Pak et al. [Analytical solutions of linear inhomogeneous fractional differential equation with continuous variable coefficients. Adv Differ Equ. 2019;2019(256):1–22] are improved in our work.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/cb7150fb216e4f7d9b446144002b740b Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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