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

• Autorzy: Alireza Ansari , Amirhossein Sheikhani , Sohrab Kordrostami
• Języki publikacji: EN

Abstrakty

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.

Słowa kluczowe

EN

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

• Czasopismo: Open Physics
• Rocznik: 2013
• Tom: 11
• Numer: 10
• Strony: 1457-1462

Daty

wydano

2013-10-01

online

2013-12-19

Twórcy

autor

Alireza Ansari

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

autor

Amirhossein Sheikhani

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

autor

Sohrab Kordrostami

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

Bibliografia

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Identyfikatory

DOI

10.2478/s11534-013-0195-3