On Solving Some Classes of Nonlinear Fractional Differentional Equations Using Fractal Index Method
Science Journal of Applied Mathematics and Statistics
Volume 2, Issue 6, December 2014, Pages: 112-115
Received: Nov. 28, 2014; Accepted: Dec. 6, 2014; Published: Dec. 17, 2014
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Authors
Sayed K. Elagan, Mathematics Department, Faculty of Science, Taif University, Taif, Saudi Arabia; Mathematics Department, Faculty of Science, Menofya University, Shebin Elkom, Egypt
Mohamed S. Mohamed, Mathematics Department, Faculty of Science, Taif University, Taif, Saudi Arabia; Mathematics Department, Faculty of Science, Al-Azhar University, Cairo, Egypt
Khaled A. Gepreel, Mathematics Department, Faculty of Science, Taif University, Taif, Saudi Arabia; Mathematics Department, Faculty of Science, Zagazig University, Kuala Lumpur, Egypt
Rabha W. Ibrahim, Institute of Mathematical Sciences, University Malaya, 50603, Kuala Lumpur, Malaysia
Afaf Elesimy, Mathematics Department, Faculty of Science, Taif University, Taif, Saudi Arabia
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Abstract
We provide a new solution of diffusion fractional differential equation using fractal index and fractional sub-equation method. Also we shall impose a new solution for fraction Birnolli equation of arbitrary order using the fractal index method. As a result many exact solutions are obtained. It is shown that our considered method provides a very effective tool for solving fractional differentional equations.
Keywords
Fractional Sub-Equation Method, Fractal Index Method
To cite this article
Sayed K. Elagan, Mohamed S. Mohamed, Khaled A. Gepreel, Rabha W. Ibrahim, Afaf Elesimy, On Solving Some Classes of Nonlinear Fractional Differentional Equations Using Fractal Index Method, Science Journal of Applied Mathematics and Statistics. Vol. 2, No. 6, 2014, pp. 112-115. doi: 10.11648/j.sjams.20140206.12
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