An inverse problem for a generalized fractional diffusion

Khaled M. Furati; Olaniyi S. Iyiola; Mokhtar Kirane

doi:10.1016/j.amc.2014.10.046

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$An inverse problem for a generalized fractional diffusion$

Journal article

Peer reviewed

An inverse problem for a generalized fractional diffusion

Khaled M. Furati, Olaniyi S. Iyiola and Mokhtar Kirane

Applied mathematics and computation, Vol.249, pp.24-31

15/12/2014

DOI: https://doi.org/10.1016/j.amc.2014.10.046

Abstract

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

We propose a method for determining the solution and source term of a generalized time-fractional diffusion equation. The method is based on selecting a bi-orthogonal basis of L-2 space corresponding to a nonself-adjoint boundary value problem. Uniqueness is proven and an existence result is obtained for smooth initial and final conditions. The asymptotic behavior of the generalized Mittag-Leffler function is used to relax the smoothness requirement on these conditions. (C) 2014 Elsevier Inc. All rights reserved.

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Title: An inverse problem for a generalized fractional diffusion
Creators - without role: Khaled M. Furati - King Fahd University of Petroleum and Minerals
Olaniyi S. Iyiola - King Fahd University of Petroleum and Minerals
Mokhtar Kirane - University of La Rochelle
Publication Details: Applied mathematics and computation, Vol.249, pp.24-31
Publisher: Elsevier
Number of pages: 8
Grant note: FT121003 / King Fahd University of Petroleum and Minerals
Identifiers: 9936183108331
Academic Unit: King Abdulaziz University; King Fahd University of Petroleum & Minerals
Language: English
Resource Type: Journal article