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Zeliha Körpinar

ON NUMERICAL SOLUTIONS FOR THE CAPUTO-FABRIZIO FRACTIONAL HEAT-LIKE EQUATION

ABSTRACT
In this article, Laplace homotopy analysis method in order to solve fractional heat-like equation with variable coefficients, are introduced. Laplace homotopy analysis method, founded on combination of homotopy methods and Laplace transform is used to supply a new analytical approximated solutions of the fractional partial differential equations in case of the Caputo-Fabrizio. The solutions obtained are compared with exact solutions of these equations. Reliability of the method is given with graphical consequens and series solutions. The results show that the method is a powerfull and efficient for solving the fractional heat-like equations with variable coefficients.
KEYWORDS
Laplace homotopy analysis method, fractional heat-like equations, Caputo-Fabrizio derivative, approximate solution
PAPER SUBMITTED: 2017-06-14
PAPER REVISED: 2017-11-15
PAPER ACCEPTED: 2017-11-21
PUBLISHED ONLINE: 2018-01-07
DOI REFERENCE: https://doi.org/10.2298/TSCI170614274K
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2018, VOLUME 22, ISSUE Supplement 1, PAGES [S87 - S95]
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On numerical solutions for the Caputo-Fabrizio fractional heat-like equation

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