Solution to time fractional generalized KdV of order 2q+1 and system of space fractional PDEs

	Solution to time fractional generalized KdV of order 2q+1 and system of space fractional PDEs
Computational Methods for Differential Equations
مقاله 6، دوره 5، شماره 3، مهر 2017، صفحه 246-255 اصل مقاله (292.7 K)
نوع مقاله: Research Paper
نویسنده
Arman Aghili^*
Department of Applied Mathematics, Faculty of Mathematical Sciences University of Guilan, Rasht, Iran. P. O. Box 1841
چکیده
Abstract. In this work, it has been shown that the combined use of exponential operators and integral transforms provides a powerful tool to solve time fractional generalized KdV of order 2q+1 and certain fractional PDEs. It is shown that exponential operators are an effective method for solving certain fractional linear equations with non-constant coefficients. It may be concluded that the combined use of integral transforms and exponential operator method is very efficient tool in finding exact solutions for ordinary and partial differential equations with fractional order. Finally, illustrative examples are also provided.
کلیدواژه‌ها
fractional partial differential equations؛ Exponential operational method؛ Riemann - Liouville fractional derivative؛ Laplace transform؛ Caputo fractional derivative

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