Open AccessThe generalized Gegenbauer-Humberts wavelet for solving fractional differential equations
Author(s) -
H S Jumana Alkhalissi,
İbrahim Emiroğlu,
Aydın Seçer,
Mustafa Bayram
Publication year - 2020
Publication title -
thermal science/thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci20s1107a
Subject(s) - algebraic equation , wavelet , mathematics , differential equation , matrix (chemical analysis) , mathematical analysis , physics , computer science , nonlinear system , materials science , quantum mechanics , artificial intelligence , composite material
In this paper we present a new method of wavelets, based on generalized Gegen?bauer-Humberts polynomials, named generalized Gegenbauer-Humberts wave?lets. The operational matrix of integration are derived. By using the proposed method converted linear and non-linear fractional differential equation a system of algebraic equations. In addition, discussed some examples to explain the efficiency and accuracy of the presented method.