SOLUTION OF CERTAIN
FRACTIONAL KINETIC EQUATIONS
Ahmad Shafee1, Leda Galue2, Shyam Kalla3
1Public Authority of Applied Education and Training
KUWAIT
2Centro de Investigacion de Matematica Aplicada
Facultad de Ingenieria, Universidad del Zulia
VENEZUELA
3Vyas Institutes of Higher Education
Jodhpur, INDIA
3Visiting Professor (Nov.-Dec. 2013) at Department of Mathematics
Kuwait, University, KUWAIT
Abstract. Several authors have treated fractional kinetic equations and obtained their solutions, using different methods. Recently Saxena and Kalla have obtained solution of fractional kinetic equation, using Laplace transform. In this paper a correct version of their solution and examples are given. Further, a more general form of fractional kinetic equation and its solution are introduced, and an alternative method to obtain solution of such equations is provided. The results presented are in compact form and convenient for numerical computation. Furthermore some special cases and examples are obtained, and various figures to illustrate the behavior of the solution are given.
AMS Subject classification: 26A33, 33C65
Keywords and phrases: fractional differential equations, Laplace transform, convolution, generalized hypergeometric function, Mittag-Leffler function


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DOI: 10.12732/ijam.v27i5.2

Volume: 27
Issue: 5
Year: 2014