A constructive approach for solving system of fractional differential equations

H.R. Marasi, Vishnu Narayan Mishra, and M. Daneshbastam. "A constructive approach for solving system of fractional differential equations." Waves, Wavelets and Fractals 3.1 (2017): 40-47. <http://eudml.org/doc/288525>.

@article{H2017,
abstract = {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.},
author = {H.R. Marasi, Vishnu Narayan Mishra, M. Daneshbastam},
journal = {Waves, Wavelets and Fractals},
keywords = {Differential transform method; Adomian polynomials; System of fractional partial differential equations},
language = {eng},
number = {1},
pages = {40-47},
title = {A constructive approach for solving system of fractional differential equations},
url = {http://eudml.org/doc/288525},
volume = {3},
year = {2017},
}

TY - JOUR
AU - H.R. Marasi
AU - Vishnu Narayan Mishra
AU - M. Daneshbastam
TI - A constructive approach for solving system of fractional differential equations
JO - Waves, Wavelets and Fractals
PY - 2017
VL - 3
IS - 1
SP - 40
EP - 47
AB - 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.
LA - eng
KW - Differential transform method; Adomian polynomials; System of fractional partial differential equations
UR - http://eudml.org/doc/288525
ER -