Complete Solution For The Time Fractional Diffusion Problem With Mixed Boundary Conditions by Operational Method-Reference-Cited by-同舟云学术

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

Published:2020-04-17 Issue:1 Volume:6 Page:9-20
ISSN:2444-8656
Container-title:Applied Mathematics and Nonlinear Sciences
language:en
Short-container-title:

Author:

Aghili A.¹

Affiliation:

1. University of Guilan , Faculty of Mathematical Sciences, Department of Applied Mathematics , Iran - Rasht, P.O.BOX 1841

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Link

https://www.sciendo.com/pdf/10.2478/amns.2020.2.00002

Reference17 articles.

1. A. Aghili, Solution time fractional non - homogeneous first order PDE with non - constant coefficients. Tbilisi Mathematical Journal 12(4) (2019), pp. 149 – 155.

2. A. Aghili, Special functions, integral transforms with applications, Tbilisi Mathematical Journal 12 (1) (2019), 33–44.

3. A. Aghili, Fractional Black - Scholes equation. International Journal of Financial Engineering, Vol. 4, No. 1 (2017) 1750004 (15 pages)© World Scientific Publishing Company. DOI: 10.1142/S2424786317500049

4. A. Aghili, Mixed boundary value problem for a quarter- plane with a robin condition. Journal of Sciences, Islamic Republic of Iran 13(1): 65–69 (2002) National Center For Scientific Research, ISSN 1016-1104

5. A. Aghili, A. Parsania, Mixed boundary value problems in semi infinite strip. Int. J. Contemp. Math. Sci., Vol. 1, 2006, no. 7, 305 – 311

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