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Axioms 2015, 4(3), 412-422; doi:10.3390/axioms4030412

Some Aspects of Extended Kinetic Equation

Department of Basic Sciences, Amal Jyothi College of Engineering, Koovapally P.O., Kanjirapally, Kerala 686518, India
Academic Editor: Hans J. Haubold
Received: 20 May 2015 / Revised: 27 August 2015 / Accepted: 31 August 2015 / Published: 18 September 2015
View Full-Text   |   Download PDF [222 KB, uploaded 18 September 2015]

Abstract

Motivated by the pathway model of Mathai introduced in 2005 [Linear Algebra and Its Applications, 396, 317–328] we extend the standard kinetic equations. Connection of the extended kinetic equation with fractional calculus operator is established. The solution of the general form of the fractional kinetic equation is obtained through Laplace transform. The results for the standard kinetic equation are obtained as the limiting case. View Full-Text
Keywords: kinetic equation; fractional derivatives and integrals; Mellin convolution; G-function; Mittag-Lefler function kinetic equation; fractional derivatives and integrals; Mellin convolution; G-function; Mittag-Lefler function
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Kumar, D. Some Aspects of Extended Kinetic Equation. Axioms 2015, 4, 412-422.

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