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Approximate solutions of nonlinear fractional equations
Authors:HI Abdel-Gawad
Institution:Department of Mathematics, Faculty of Science, Cairo University, Egypt
Abstract:Fractional exponential that are invariant under fractional derivatives, elementary and special fractional functions are introduced. Approximate solutions to fractional Burgers equation, by using the homotopy perturbation method, are obtained. Furthermore, real integral representations for some H-functions are found that may be very helpful in numerical computations.
Keywords:Fractional exponential functions  Approximate solutions  Fractional Burgers equation  H-functions
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