Open AccessFractional Fourier Series with Separation of Variables Technique and Its Application on Fractional differential Equations
Author(s) -
Ahmed Bouchenak,
Roshdi Khalil,
Alhorani Mohammed
Publication year - 2021
Publication title -
wseas transactions on mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.211
H-Index - 21
eISSN - 2224-2880
pISSN - 1109-2769
DOI - 10.37394/23206.2021.20.48
Subject(s) - conformable matrix , separation of variables , mathematics , fourier series , series (stratigraphy) , fourier transform , fractional calculus , mathematical analysis , fourier analysis , partial differential equation , physics , paleontology , quantum mechanics , biology
When using some classical methods, such us separation of variables; it is impossible to find a general solution for some differential equations. Therefore, we suggest adding conformable fractional Fourier series to get a new technique to solve fractional Benjamin Bana Mahony and Heat Equations. Furtheremore, we give new numerical approximation for functions using mathematica coding called conformable fractional Fourier series approximation