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Numerical Methods for Fractional Differential Equations | ||
| Journal of University of Babylon | ||
| Article 1, Volume 25, Issue 3, 2017, Pages 826-836 | ||
| Author | ||
| Ali Naji Shaker | ||
| Abstract | ||
| The definition of a Fractional differential type of equations is a branch of mathematics, science which developed from derivative operators and the calculus integral traditional definition. It’s so much like the fractional exponents were grown from the exponents having integer number. In this paper, will intend to study the ways which are in turn used for solution approximation in fractional differential equations through and how. This paper will also include the Riemann-Liouville differential operator for the basic theorem of the initial value problem for the fractional differential equations. On the same regard, the classical approach will be employed. The theory involving concepts such as local existence, inequalities, global existence of solutions external solutions, comparison results going to be referred. | ||
| Keywords | ||
| fractional differential equations; Riemann; Liouville operator; initial value problem; Numerical Methods; Gamma function | ||
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