Fractional Fourier Series with Separation of Variables Technique and Its Application on Fractional differential Equations

Abstract

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

Existence and Uniqueness Study of the Conformable Laplace Transform

“…However, the conformable derivative is a natural de nition which gives us a simple and easy solution for the problems. For more different applications on conformable derivatives, we refer to [8][9][10][11][12][13][14][15].…”