Remarks on a green functions approach to diffusion models with singular kernels in fading memories | Zendy

Badr Saad T. Alkahtani | Zendy; Abdon Atangana | Zendy

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Remarks on a green functions approach to diffusion models with singular kernels in fading memories

Author(s) -

Badr Saad T. Alkahtani,

Abdon Atangana

Publication year - 2016

Publication title -

thermal science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.339

H-Index - 43

eISSN - 2334-7163

pISSN - 0354-9836

DOI - 10.2298/tsci160421234a

Subject(s) - fading , kernel (algebra) , diffusion , construct (python library) , mathematics , fractional calculus , function (biology) , order (exchange) , riemann hypothesis , pure mathematics , computer science , algorithm , physics , decoding methods , finance , evolutionary biology , biology , economics , programming language , thermodynamics

Diffusion problems with singulars kernels in fading memories are very interesting physical problem that have attracted attention of many researchers. In this paper, we aim to provide exact solutions of these problems using the green function method with some integral transform operators. The singular kernel used in this paper is based upon the power law function, which is used to construct the well-known Riemann-Liouville derivative with fractional order

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