Computable solution of fractional kinetic equations using Mathieu-type series

Autor:	Owais Khan, Nabiullah Khan, Dumitru Baleanu, Kottakkaran Sooppy Nisar
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	Generalized fractional kinetic equation Mathieu-type series Laplace transform Sumudu transform Mathematics QA1-939
Zdroj:	Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-13 (2019)
Druh dokumentu:	article
ISSN:	1687-1847
DOI:	10.1186/s13662-019-2167-4
Popis:	Abstract The Mathieu series appeared in the study of elasticity of solid bodies in the work of Émile Leonard Mathieu. Since then numerous authors have studied various problems arising from the Mathieu series in several diverse ways. In this line, our aim is to study the solution of fractional kinetic equations involving generalized Mathieu-type series. The generality of this series will help us to deduce results related to a fractional kinetic equation involving another form of Mathieu series. To obtain the solution, we use the Laplace transform technique. Besides, a graphical representation is given to observe the behavior of the obtained solutions.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/41d1c4958e2f483e8a80e8505156ba6f Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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