A new method for solving fractional partial differential equations. (English) Zbl 1451.35256

Several books and papers deal with Integrals and differentials of arbitrary order e.g. [St. G. Samko et al., Fractional integrals and derivatives: theory and applications. Transl. from the Russian. New York, NY: Gordon and Breach (1993; Zbl 0818.26003)]. In this paper the authors consider, so called “Laplace differential transform method”. This method is a combination of the Laplace transform and “Differential transform method” [J. K. Zhou, Differential transformation and its application for electrical circuits. Wuhan: Huazhong University Press (1986); C.-K. Chen and S.-H. Ho, Appl. Math. Comput. 79, No. 2–3, 173–188 (1996; Zbl 0879.34077)]. Numerical solutions of fractional differential equations have been considered by several authors [R. Scherer et al., Comput. Math. Appl. 62, No. 3, 902–917 (2011; Zbl 1228.65121)]. The authors use Laplace Differential Transform Method to obtain approximate solutions of some fractional partial differential equations.


35R11 Fractional partial differential equations
44A10 Laplace transform
35A22 Transform methods (e.g., integral transforms) applied to PDEs
35C10 Series solutions to PDEs
Full Text: DOI


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