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Archives › Volume 4, Number 6 (2014)

J. Math. Comput. Sci. 4 (2014), 1064–1074

Generalized K4-function and its application in solving kinetic equation of fractional order

Ahmad Faraj, Tariq Salim, Safaa Sadek, Jamal Ismail

Abstract

This paper is devoted to introduce a new generalized K4- function in terms of some special functions. The differ-integration of this function is also investigated. A method for deriving the solution of the generalized fractional kinetic equation in term of the generalized K4- function defined, generalized M-Series and generalized Mittag – Leffler function is investigated. The applied method depends on the fractional differ-integral operator techniques.

Published
7 December 2014
Volume
4 (2014)
License
CC BY 3.0

Copyright © 2014 Ahmad Faraj, Tariq Salim, Safaa Sadek, Jamal Ismail. 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.

Cite this article

A. Faraj, T. Salim, S. Sadek, J. Ismail, Generalized K4-function and its application in solving kinetic equation of fractional order, J. Math. Comput. Sci. 4 (2014), 1064–1074.

BibTeX
@article{Faraj2014,
  author  = {Faraj, Ahmad and Salim, Tariq and Sadek, Safaa and Ismail, Jamal},
  title   = {Generalized K4-function and its application in solving kinetic equation of fractional order},
  journal = {J. Math. Comput. Sci.},
  volume  = {4},
  year    = {2014},
  pages   = {1064--1074},
  doi     = {}
}