Well-posedness of the inverse problem of time fractional heat equation in the sense of the Atangana-Baleanu fractional approach

In the present work, an inverse problem for the heat equation in two dimensional space with Robin boundary condition that involving a new fractional derivative, namely, Atangana-Baleanu approach with non-local and non-singular kernel is considered. An explicit solution set {u(x,y,t),a(t)} of the giv...

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Bibliographic Details
Main Authors: Smina Djennadi, Nabil Shawagfeh, Omar Abu Arqub
Format: Article
Language:English
Published: Elsevier 2020-08-01
Series:Alexandria Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S111001682030065X