An application of Lauricella hypergeometric functions to the generalized heat equations
Authors :
Rabha W. Ibrahima,*
Author Address :
a,*Institute of Mathematical Sciences, University Malaya, 50603 , Kuala Lumpur, Malaysia.
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.
DOI :
Article Info :
Received : November 03, 2013; Accepted : December 05, 2013.
