In this paper to solve a set of linear and nonlinear fractional differential equations, we modified the differential transform method. Adomian polynomials helped taking care of the non-linear terms. The main advantage of our algorithm over the numerical methods is being able to solve nonlinear systems without any discretization or restrictive assumption. We considered Caputo definition for fractional derivatives.
@article{bwmeta1.element.doi-10_1515_wwfaa-2017-0004,
author = {H.R. Marasi and Vishnu Narayan Mishra and M. Daneshbastam},
title = {A constructive approach for solving system of fractional differential equations},
journal = {Waves, Wavelets and Fractals},
volume = {3},
year = {2017},
pages = {40-47},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_wwfaa-2017-0004}
}
H.R. Marasi; Vishnu Narayan Mishra; M. Daneshbastam. A constructive approach for solving system of fractional differential equations. Waves, Wavelets and Fractals, Tome 3 (2017) pp. 40-47. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_wwfaa-2017-0004/