Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4668611 | Arab Journal of Mathematical Sciences | 2013 | 11 Pages |
Abstract
In this article, we introduce the generalized Fourier transform (FAFA-transform) and derive an inversion formula and convolution product for this transform. Furthermore, the fundamental solutions of the single-order and distributed-order Cauchy type fractional diffusion equations are given by means of the appropriate FAFA-transform in terms of the Wright functions. Also, applicability of this transform for the explicit solution of the generalized Hilbert type singular integral equation is discussed.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Arman Aghili, Alireza Ansari,