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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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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Abstract 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.
AbstractList 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.
Author Aghili, A.
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  organization: University of Guilan, Faculty of Mathematical Sciences, Department of Applied Mathematics, Iran - Rasht, P.O.BOX 1841
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Snippet 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...
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SubjectTerms 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
Title Complete Solution For The Time Fractional Diffusion Problem With Mixed Boundary Conditions by Operational Method
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