Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
483490 | Journal of the Egyptian Mathematical Society | 2016 | 6 Pages |
Abstract
We study the two analytical methods, the classical method of successive approximations (Picard method), Adomian decomposition method (ADM) see (Abbaoui and Cherruault, 1994; Adomian et al., 1992; Adomian, 1995) [1], [2] and [3] and the (numerical method) predictor corrector method (PECE) for an initial value problem of arbitrary (fractional) orders differential equation (FDE). The existence and uniqueness of the solution will be proved and the convergence will be discussed for each method. Some examples will be studied.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Adel S. Mohamed, R.A. Mahmoud,