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Axioms 2018, 7(1), 10; https://doi.org/10.3390/axioms7010010

Exact Solutions to the Fractional Differential Equations with Mixed Partial Derivatives

1
School of Science, Wuhan University of Science and Technology, Wuhan 430065, Hubei, China
2
Hubei Province Key Laboratory of Systems Science in Metallurgical Process, Wuhan 430065, Hubei, China
*
Author to whom correspondence should be addressed.
Received: 19 December 2017 / Revised: 4 February 2018 / Accepted: 8 February 2018 / Published: 11 February 2018
(This article belongs to the Special Issue Fractional Differential Equations)
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Abstract

In this paper, the solvability of nonlinear fractional partial differential equations (FPDEs) with mixed partial derivatives is considered. The invariant subspace method is generalized and is then used to derive exact solutions to the nonlinear FPDEs. Some examples are solved to illustrate the effectiveness and applicability of the method. View Full-Text
Keywords: Caputo fractional derivative; the fractional partial differential equation; Laplace transform method; invariant subspace method Caputo fractional derivative; the fractional partial differential equation; Laplace transform method; invariant subspace method
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Jiang, J.; Feng, Y.; Li, S. Exact Solutions to the Fractional Differential Equations with Mixed Partial Derivatives. Axioms 2018, 7, 10.

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