Complete Solution For The Time Fractional Diffusion Problem With Mixed Boundary Conditions by Operational Method

In this study, we present some new results for the time fractional mixed boundary value problems. We consider a generalization of the Heat - conduction problem in two dimensions that arises during the manufacturing of p - n junctions. Constructive examples are also provided throughout the paper. The...

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Bibliographic Details
Published inApplied mathematics and nonlinear sciences Vol. 6; no. 1; pp. 9 - 20
Main Author Aghili, A.
Format Journal Article
LanguageEnglish
Published Beirut Sciendo 01.01.2021
De Gruyter Poland
Subjects
26A33
44A10
44A15
44A35
Caputo fractional derivative
Fourier series
Hankel transform
Integral transform method
Laplace transform
Modified Bessel’s functions
Newmann function
P- N junctions
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Summary:In this study, we present some new results for the time fractional mixed boundary value problems. We consider a generalization of the Heat - conduction problem in two dimensions that arises during the manufacturing of p - n junctions. Constructive examples are also provided throughout the paper. The main purpose of this article is to present mathematical results that are useful to researchers in a variety of fields.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:2444-8656
2444-8656
DOI:10.2478/amns.2020.2.00002