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A constructive approach for solving system of fractional differential equations

100%

Marasi H. R., Mishra V. N., Daneshbastam M.

Waves, Wavelets and Fractals

2017

tom 3

nr 1

40-47

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.

Laplace Adomian decomposition method for solving a fish farm model

100%

Sambath M., Balachandran K.

Nonautonomous Dynamical Systems

2016

tom 3

nr 1

104-111

In this work, a combined form of the Laplace transform method and the Adomian decomposition method is implemented to give an approximate solution of nonlinear systems of differential equations such as fish farm model with three components nutrient, fish and mussel. The technique is described and illustrated with a numerical example.

Ograniczanie wyników

1 Nonautonomous Dynamical Systems

1 Waves, Wavelets and Fractals

1 Balachandran K.

1 Daneshbastam M.

1 Marasi H. R.

1 Mishra V. N.

1 Sambath M.

1 2017

1 2016

Wyniki wyszukiwania

A constructive approach for solving system of fractional differential equations

Laplace Adomian decomposition method for solving a fish farm model