Ramzi B. Albadarneh, Iqbal M. Batiha, Mohammad Zurigat, Numerical solutions for linear fractional differential equations of order using finite difference method (FFDM), J. Math. Computer Sci. 16 (2016), 103-111.
The major goal of this paper is to nd accurate solutions for linear fractional di erential equations
of order 1 < < 2 . Hence, it is necessary to carry out this goal by preparing a new method called
Fractional Finite Di erence Method (FFDM). However, this method depends on several important
topics and de nitions such as Caputo's de nition as a de nition of fractional derivative, Finite
Di erence Formulas in three types (Forward, Central and Backward) for approximating the second
and third derivatives and Composite Trapezoidal Rule for approximating the integral term in the
Caputo's de nition. In this paper, the numerical solutions of linear fractional di erential equations
using FFDM will be discussed and illustrated. The purposed problem is to construct a method
to nd accurate approximate solutions for linear fractional di erential equations. The eciency of
FFDM will be illustrated by solving some problems of linear fractional di erential equations of order
1 < < 2.
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