TY - BOOK AU - Hanan Mohamed Farag Almrawm AU - Laila Fahmy Abdelal , AU - Naser Hassan Sweilam , TI - Explicit finite-difference approximations for variable-order non-linear fractional differential equations / PY - 2011/// CY - Cairo : PB - Hanan Mohamed Farag Almrawm , KW - Finite difference method KW - Fractional derivative KW - Variable order Fractional N1 - Thesis (M.Sc.) - Cairo University - Faculty of Science - Department of Mathematics; Issued also as CD N2 - In this thesis, the explicit finite-difference method for solving variable order fractional differential equations is considered. The concept of variable order fractional derivative is considered in the sense of Caputo and Riesz. In order to study the stability analysis and the truncation error of the schemes, some theorems with proofs are presented. Numerical test examples are given to demonstrate the effectiveness of the method UR - http://172.23.153.220/th.pdf ER -