Author:
Ansari Alireza,Sheikhani Amirhossein,Kordrostami Sohrab
Abstract
AbstractIn 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.
Subject
General Physics and Astronomy
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