Progress in Fractional Differentiation & Applications

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In this article, Ritz approximation based on Genocchi polynomials has been used to get numerical solutions large category of FPDEs (fractional partial differential equations). In this work, we use of Caputo fractional derivatives. In first, we transform FDEs into an optimization problem by Genocchi polynomial and achieve the nonlinear algebraic equation system. By solving this system, we get the polynomial expansion’s coefficients. Then, we will show that the Ritz approximation based on Genoscchi polynomial is very efficient for a wide class of FPDEs. Some numerical instances are provided in the following to show the Genocchi polynomials efficiency.

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