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Fractional transient thermal mixed boundary value problem of distributed order
Author(s) -
Masomi Mohammad Rasool,
Ansari Alireza
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5187
Subject(s) - laplace transform , mathematics , boundary value problem , transient (computer programming) , fourier transform , order (exchange) , mathematical analysis , heat flow , integral transform , thermal , computer science , physics , finance , economics , operating system , meteorology
In this paper, we introduce the fractional transient thermal mixed boundary value problem of distributed order. We employ the Cagniard‐de Hoop and the Wiener‐Hopf techniques to solve this problem. The Laplace and Fourier transforms are used to present the formal solution of this problem in terms of some special functions. The numerical simulation of a model example is also given for the heat flow through the foundation of building.