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Numerical Approach of Fractional Abel Differential Equation by Genocchi Polynomials

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Abstract

In the present paper, we study a computational technique for solving a fractional Abel differential equation. The fractional derivative is considered in the Caputo sense. Genocchi polynomials is applied in this technique. To this aim, the operational matrices of the fractional integration and product are applied. The primary motivation of this study is by aid of these matrices, the aforesaid equation is reduced a system of algebraic equations. To show the accuracy of the proposed method, some examples are provided.

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Authors and Affiliations

  1. Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran

    Fariba Rigi & Haleh Tajadodi

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  1. Fariba Rigi
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  2. Haleh Tajadodi
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Correspondence to Haleh Tajadodi.

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Rigi, F., Tajadodi, H. Numerical Approach of Fractional Abel Differential Equation by Genocchi Polynomials. Int. J. Appl. Comput. Math 5, 134 (2019). https://doi.org/10.1007/s40819-019-0720-1

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  • DOI: https://doi.org/10.1007/s40819-019-0720-1

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