期刊
ADVANCES IN DIFFERENCE EQUATIONS
卷 -, 期 -, 页码 -出版社
SPRINGEROPEN
DOI: 10.1186/s13662-016-0891-6
关键词
fractional calculus; fractional differential equations; Caputo fractional operator; Caputo-Fabrizio fractional operator; homotopy analysis method; approximate solution
资金
- CONACYT-FOMIX, fortalecimiento de la maestria en matematicas aplicadas de la universidad autonoma de Guerrero
- CONACYT: catedras CONACYT para jovenes investigadores
In this work, we present an analysis based on a combination of the Laplace transform and homotopy methods in order to provide a new analytical approximated solutions of the fractional partial differential equations (FPDEs) in the Liouville-Caputo and Caputo-Fabrizio sense. So, a general scheme to find the approximated solutions of the FPDE is formulated. The effectiveness of this method is demonstrated by comparing exact solutions of the fractional equations proposed with the solutions here obtained.
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