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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BİSKA Bilisim Company
2015-12-01
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| Series: | New Trends in Mathematical Sciences |
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| Online Access: | https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=4097 |
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doaj-88898895c3d1450091aba73efbf946f82020-11-25T00:27:55ZengBİSKA Bilisim CompanyNew Trends in Mathematical Sciences2147-55202147-55202015-12-01341331434097New results involving Airy polynomials, fractional calculus and solution to generalized heat equationArman Aghili0university of guilanAbstract 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.https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=4097Keywords: Fractional partial differential equationsş heat equationsKd.V equationsAiry polynomialsRiemann – Liouville fractional derivative. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Arman Aghili |
| spellingShingle |
Arman Aghili New results involving Airy polynomials, fractional calculus and solution to generalized heat equation New Trends in Mathematical Sciences Keywords: Fractional partial differential equationsş heat equations Kd.V equations Airy polynomials Riemann – Liouville fractional derivative. |
| author_facet |
Arman Aghili |
| author_sort |
Arman Aghili |
| title |
New results involving Airy polynomials, fractional calculus and solution to generalized heat equation |
| title_short |
New results involving Airy polynomials, fractional calculus and solution to generalized heat equation |
| title_full |
New results involving Airy polynomials, fractional calculus and solution to generalized heat equation |
| title_fullStr |
New results involving Airy polynomials, fractional calculus and solution to generalized heat equation |
| title_full_unstemmed |
New results involving Airy polynomials, fractional calculus and solution to generalized heat equation |
| title_sort |
new results involving airy polynomials, fractional calculus and solution to generalized heat equation |
| publisher |
BİSKA Bilisim Company |
| series |
New Trends in Mathematical Sciences |
| issn |
2147-5520 2147-5520 |
| publishDate |
2015-12-01 |
| description |
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. |
| topic |
Keywords: Fractional partial differential equationsş heat equations Kd.V equations Airy polynomials Riemann – Liouville fractional derivative. |
| url |
https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=4097 |
| work_keys_str_mv |
AT armanaghili newresultsinvolvingairypolynomialsfractionalcalculusandsolutiontogeneralizedheatequation |
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1725337772007358464 |