Exact solutions of time fractional heat-like and wave-like equations with variable coefficients

Exact solutions of time fractional heat-like and wave-like equations with variable coefficients

In this paper, a variable-coefficient time fractional heat-like and wave-like equation with initial and boundary conditions is solved by the use of variable separation method and the properties of Mittag-Leffler function. As a result, exact solutions are obtained, from which some known spec...

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Main Authors: Zhang Sheng, Zhu Ran, Zhang Luyao
Format: Article
Language:English
Published: VINCA Institute of Nuclear Sciences 2016-01-01
Series:Thermal Science
Subjects:
heat-like and wave-like equation
variable separation method
exact solution
Mittag-Leffler function
Online Access:http://www.doiserbia.nb.rs/img/doi/0354-9836/2016/0354-983616689Z .pdf
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spelling doaj-38d0271298ff426bb215eccb7936823c2021-01-02T06:40:37ZengVINCA Institute of Nuclear SciencesThermal Science0354-98362334-71632016-01-0120suppl. 368969310.2298/TSCI16S3689Z0354-983616689ZExact solutions of time fractional heat-like and wave-like equations with variable coefficientsZhang Sheng0Zhu Ran1Zhang Luyao2Bohai University, School of Mathematics and Physics, Jinzhou, ChinaBohai University, School of Mathematics and Physics, Jinzhou, ChinaBohai University, School of Mathematics and Physics, Jinzhou, ChinaIn this paper, a variable-coefficient time fractional heat-like and wave-like equation with initial and boundary conditions is solved by the use of variable separation method and the properties of Mittag-Leffler function. As a result, exact solutions are obtained, from which some known special solutions are recovered. It is shown that the variable separation method can also be used to solve some others time fractional heat-like and wave-like equation in science and engineering.http://www.doiserbia.nb.rs/img/doi/0354-9836/2016/0354-983616689Z .pdfheat-like and wave-like equationvariable separation methodexact solutionMittag-Leffler function
collection DOAJ
language English
format Article
sources DOAJ
author Zhang Sheng
Zhu Ran
Zhang Luyao
spellingShingle Zhang Sheng
Zhu Ran
Zhang Luyao
Exact solutions of time fractional heat-like and wave-like equations with variable coefficients
Thermal Science
heat-like and wave-like equation
variable separation method
exact solution
Mittag-Leffler function
author_facet Zhang Sheng
Zhu Ran
Zhang Luyao
author_sort Zhang Sheng
title Exact solutions of time fractional heat-like and wave-like equations with variable coefficients
title_short Exact solutions of time fractional heat-like and wave-like equations with variable coefficients
title_full Exact solutions of time fractional heat-like and wave-like equations with variable coefficients
title_fullStr Exact solutions of time fractional heat-like and wave-like equations with variable coefficients
title_full_unstemmed Exact solutions of time fractional heat-like and wave-like equations with variable coefficients
title_sort exact solutions of time fractional heat-like and wave-like equations with variable coefficients
publisher VINCA Institute of Nuclear Sciences
series Thermal Science
issn 0354-9836
2334-7163
publishDate 2016-01-01
description In this paper, a variable-coefficient time fractional heat-like and wave-like equation with initial and boundary conditions is solved by the use of variable separation method and the properties of Mittag-Leffler function. As a result, exact solutions are obtained, from which some known special solutions are recovered. It is shown that the variable separation method can also be used to solve some others time fractional heat-like and wave-like equation in science and engineering.
topic heat-like and wave-like equation
variable separation method
exact solution
Mittag-Leffler function
url http://www.doiserbia.nb.rs/img/doi/0354-9836/2016/0354-983616689Z .pdf
work_keys_str_mv AT zhangsheng exactsolutionsoftimefractionalheatlikeandwavelikeequationswithvariablecoefficients
AT zhuran exactsolutionsoftimefractionalheatlikeandwavelikeequationswithvariablecoefficients
AT zhangluyao exactsolutionsoftimefractionalheatlikeandwavelikeequationswithvariablecoefficients
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