Article
Analytical and approximate solutions of Fractional Partial Differential-Algebraic Equations
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Abstract
In this paper, we have extended the Fractional Differential Transform method for the numerical solution of the system of fractional partial differential-algebraic equations. The system of partial differential-algebraic equations of fractional order is solved by the Fractional Differential Transform method. The results exhibit that the proposed method is very effective.
Keywords
Fractional Differential Transform Method, Fractional Partial Differential-Algebraic Equations, Caputo fractional derivative, Approximate solution
Citation
Günerhan, H. & Çelik, E. (2020). Analytical and approximate solutions of fractional partial differential-algebraic equations. Applied Mathematics and Nonlinear Sciences, 5(1), 109–120. https://doi.org/10.2478/amns.2020.1.00011
H. Günerhan and E. Çelik, “Analytical and approximate solutions of fractional partial differential-algebraic equations,” Applied Mathematics and Nonlinear Sciences, vol. 5, no. 1, pp. 109–120, 2020, doi: 10.2478/amns.2020.1.00011.
Günerhan H, Çelik E. Analytical and approximate solutions of fractional partial differential-algebraic equations. Applied Mathematics and Nonlinear Sciences. 2020;5(1):109–120. doi:10.2478/amns.2020.1.00011.
Günerhan, H. and Çelik, E. (2020), ‘Analytical and approximate solutions of fractional partial differential-algebraic equations’, Applied Mathematics and Nonlinear Sciences, 5(1), pp. 109–120. Available at: https://doi.org/10.2478/amns.2020.1.00011.
Günerhan, Hatıra, and Ercan Çelik. “Analytical and Approximate Solutions of Fractional Partial Differential-algebraic Equations.” Applied Mathematics and Nonlinear Sciences, vol. 5, no. 1, 2020, pp. 109–120. https://doi.org/10.2478/amns.2020.1.00011.
Günerhan, Hatıra, and Ercan Çelik. “Analytical and Approximate Solutions of Fractional Partial Differential-algebraic Equations.” Applied Mathematics and Nonlinear Sciences 5, no. 1 (2020): 109–120. https://doi.org/10.2478/amns.2020.1.00011.
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