On solutions for classes of fractional differential equations

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Authors :

RabhaW. Ibrahima,*,  and S. K. Elaganb

Author Address :

aInstitute of Mathematical Sciences, University Malaya, 50603 , Kuala Lumpur, Malaysia.
bDepartment of Mathematics and Statistics,Faculty of Science, Taif University, Taif , El-Haweiah, P.O.Box 888, Zip Code 21974, Kingdom of Saudi Arabia (KSA).

*Corresponding author.

Abstract :

We provide a new solution of diffusion fractional differential equation using fractal index method. Also we shall impose a new solution for Riccati equation of arbitrary order. The fractional operators are taken in sense of the Riemann-Liouville operators.

Keywords :

Fractional calculus; fractional differential equations; fractal index.

DOI :

Article Info :

Received : May 18, 2014; Accepted : May 28, 2014.