A Numerical Technique Based on Bernoulli Wavelet Operational Matrices for Solving a Class of Fractional Order Differential Equations

Autor:	Heba M. Arafa, Mohamed A. Ramadan, Nesreen Althobaiti
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Bernoulli wavelets fractional differential equations Caputo derivative fractional integration operational Bernoulli wavelet matrix numerical solution Thermodynamics QC310.15-319 Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Fractal and Fractional, Vol 7, Iss 8, p 604 (2023)
Druh dokumentu:	article
ISSN:	2504-3110
DOI:	10.3390/fractalfract7080604
Popis:	In this paper, we present an efficient, new, and simple programmable method for finding approximate solutions to fractional differential equations based on Bernoulli wavelet approximations. Bernoulli Wavelet functions involve advantages such as orthogonality, simplicity, and ease of usage, in addition to the fact that fractional Bernoulli wavelets have exact operational matrices that improve the accuracy of the applied approach. A fractional differential equation was simplified to a system of algebraic equations using the fractional order integration operational matrices of Bernoulli wavelets. Examples are used to demonstrate the technique’s precision.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/37c75efc2e7a48f8a1092f4d4e63b623 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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