Conformable Derivatives in Laplace Equation and Fractional Fourier Series Solution

In this paper the solution of conformable Laplace equation, {∂αu(x,y)}{∂ xα}+ {∂αu(x,y)}{∂ yα}=0, where 1 < α ≤ 2 has been deduced by using fractional fourier series and separation of variables method. For special cases α =2 (Laplace's equation), α=1.9, and α=1.8 conformable fractional fourier coefficients have been calculated. To calculate coefficients, integrals are of type "conformable fractional integral".