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 main purpose of this article is to present mathematical results that are useful to researchers in a variety of fields.

Język:: Angielski

Częstotliwość wydawania:: 1 razy w roku
Dziedziny czasopisma:: Nauki biologiczne, Nauki biologiczne, inne, Matematyka, Matematyka stosowana, Matematyka ogólna, Fizyka, Fizyka, inne

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

A. Aghili

Data publikacji: 17 kwi 2020

Zakres stron: 9 - 20

Otrzymano: 18 gru 2019

Przyjęty: 31 sty 2020

DOI: https://doi.org/10.2478/amns.2020.2.00002

Słowa kluczoweIntegral transform method, Laplace transform, Caputo fractional derivative, Newmann function, Modified Bessel’s functions, Hankel transform, Fourier series, P- N junctions

© 2020 A. Aghili, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Słowa kluczowe
Integral transform method, Laplace transform, Caputo fractional derivative, Newmann function, Modified Bessel’s functions, Hankel transform, Fourier series, P- N junctions