Title Wavelet-Picard iterative method for solving singular fractional nonlinear partial differential equations with initial and boundary conditions Type of Research Article Keywords Fractional singular differential equation, Haar wavelets, Second-kind Chebyshev wavelets, Picard iteration Abstract The present study applies the Picard iterative method to nonlinear singular partial fractional differential equations. The Haar and second-kind Chebyshev wavelets operational matrix of fractional integration will be used to solve problems combining linearization technique with the Picard method. The singular problem will be converted to an algebraic system of equations, which can be easily solved. Numerical examples are provided to illustrate the efficiency and accuracy of the technique. Researchers Amir Mohammadi (First Researcher)، Nasser Aghazadeh (Second Researcher)، Shahram Rezapour (Third Researcher)