<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

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

Faculty of Mathematical Sciences, Department of Applied Mathematics

Applied Mathematics and Nonlinear Sciences

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

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...

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

Published Online: Apr 17, 2020

Page range: 9 - 20

Received: Dec 18, 2019

Accepted: Jan 31, 2020

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

Keywords
Integral 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.

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

Published Online: Apr 17, 2020

Page range: 9 - 20

Received: Dec 18, 2019

Accepted: Jan 31, 2020

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

KeywordsIntegral 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.

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