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
Ahmed Bouchenak, Khalil Roshdi, Alhorani Mohammed, "Fractional Fourier Series with Separation of Variables Technique and Its Application on Fractional differential Equations," WSEAS Transactions on Mathematics, vol. 20, pp. 461-469, 2021, DOI:10.37394/23206.2021.20.48
Ahmed Bouchenak, Khalil Roshdi, Alhorani Mohammed. Fractional Fourier Series with Separation of Variables Technique and Its Application on Fractional differential Equations.
WSEAS Transactions on Mathematics. 2021;20:461-469. 10.37394/23206.2021.20.48