New results involving Airy polynomials, fractional calculus and solution to generalized heat equation
Abstract The main object of this paper is to demonstrate how we can make significant progress in treating a variety of problems in the theory of partial fractional differential equations by combining theory of special functions and operational methods. In this article, it is shown that the combined...
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Format: | Article |
Language: | English |
Published: |
BİSKA Bilisim Company
2015-12-01
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Series: | New Trends in Mathematical Sciences |
Subjects: | |
Online Access: | https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=4097 |
Summary: | Abstract
The main object of this paper is to demonstrate how we can make significant progress in treating a variety of problems in the theory of partial fractional differential equations by combining theory of special functions and operational methods. In this article, it is shown that the combined use of integral transforms and special functions provides a powerful tool to solve certain type of fractional PDEs and generalized heat equation.
Constructive examples are also provided. |
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ISSN: | 2147-5520 2147-5520 |