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Title

NEW RATIONAL APPROXIMATION OF MITTAG-LEFFLER FUNCTION WITH ORTHOGONAL POLYNOMIALS

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Abstract

 IN THIS PAPER WE DRIVE A UNIFORM RATIONAL APPROXIMATION FOR THE MITTAG-LEFFLER FUNCTION USING THE CHEBYSHEV POLYNOMIALS AND ASYMPTOTIC SERIES. NEXT, WE USE THIS APPROXIMATION TO FIND THE SOLUTION OF THE FRACTIONAL DIFFUSION EQUATION.

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