A new operational matrix of fractional derivative based on the generalized Gegenbauer–Humbert polynomials to solve fractional differential equations

In this paper, a new type of wavelet method to solve fractional differential equations (linear or nonlinear) is proposed. The proposed method is based on the generalized Gegenbauer–Humbert polynomial. First, we derived the operational matrices for integer and fractional order derivatives. Then, usin...

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Bibliographic Details
Main Authors: Jumana H.S. Alkhalissi, Ibrahim Emiroglu, Mustafa Bayram, Aydin Secer, Fatih Tasci
Format: Article
Language:English
Published: Elsevier 2021-08-01
Series:Alexandria Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S111001682100082X