Abstract
The new numerical technicality operational matrix based on shifted Legendre polynomials to solve the linear and nonlinear meaning of the fractal fractional of Caputo and Caputo-Fabrizio. By using this method, we get perfect and precise results. Studying the comparative of the convergence of numerical solutions with the accuracy of the fractal fractional Caputo and the fractal fractional Caputo-Fabrizio .
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