On the generating function e
xt+yϕ(t) and its fractional calculus

• Authors: Alireza Ansari , Amirhossein Sheikhani , Sohrab Kordrostami
• Languages of publication: EN

Abstracts

EN

In this article, we derive the coefficient set {H
m(x,y)}m=1∞ using the generating function ext+yϕ(t). When the complex function ϕ(t) is entire, using the inverse Mellin transform, and when ϕ(t) has singular points, using the inverse Laplace transform, the coefficient set is obtained. Also, bi-orthogonality of this set with its associated functions and its applications in the explicit solutions of partial fractional differential equations is discussed.

Keywords

EN

generating function; Mellin transform; fractional differential equation; partial fractional differential equation; Wright function

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 10
• Pages: 1457-1462

Dates

published

1 - 10 - 2013

online

19 - 12 - 2013

Contributors

author

Alireza Ansari

• Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahrekord University, P.O. Box 115, Shahrekord, Iran

author

Amirhossein Sheikhani

• Faculty of Mathematical Sciences, Islamic Azad University, Lahijan Branch, P.O. Box 1616, Lahijan, Iran

author

Sohrab Kordrostami

• Faculty of Mathematical Sciences, Islamic Azad University, Lahijan Branch, P.O. Box 1616, Lahijan, Iran

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Identifiers

DOI

10.2478/s11534-013-0195-3