An application of Lauricella hypergeometric functions to the generalized heat equations

Rabha W. Ibrahim

doi:10.26637/mjm201/006

Abstract

In the recent paper, we give a formal solution of a certain one dimensional time fractional homogeneous conduction heat equation. This equation and its solution impose a rise to new forms of generalized fractional calculus. The new solution involves the Lauricella hypergeometric function of the third type. This type of functions is utilized to explain the probability of thermal transmission in random media. We introduce the analytic form of the thermal distribution related to such Lauricella function.

Keywords:

Fractional calculus, fractional differential equations, analytic function

Mathematics Subject Classification:

26A33, 34A08

Authors Imprint References Funding Related Articles Downloads

Rabha W. Ibrahim Institute of Mathematical Sciences, University Malaya, 50603 , Kuala Lumpur, Malaysia. https://orcid.org/0000-0001-9341-025X

Pages: 43-48
Date Published: 01-01-2014
Vol. 2 No. 01 (2014): Malaya Journal of Matematik (MJM)

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