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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.

Fractional virus epidemic model on financial networks

88%

Balci M. A.

Open Mathematics

2016

tom 14

nr 1

1074-1086

In this study, we present an epidemic model that characterizes the behavior of a financial network of globally operating stock markets. Since the long time series have a global memory effect, we represent our model by using the fractional calculus. This model operates on a network, where vertices are the stock markets and edges are constructed by the correlation distances. Thereafter, we find an analytical solution to commensurate system and use the well-known differential transform method to obtain the solution of incommensurate system of fractional differential equations. Our findings are confirmed and complemented by the data set of the relevant stock markets between 2006 and 2016. Rather than the hypothetical values, we use the Hurst Exponent of each time series to approximate the fraction size and graph theoretical concepts to obtain the variables.

Ograniczanie wyników

1 Open Mathematics

1 Waves, Wavelets and Fractals

1 Balci M. A.

1 Daneshbastam M.

1 Marasi H. R.

1 Mishra V. N.

1 2017

1 2016

Wyniki wyszukiwania

A constructive approach for solving system of fractional differential equations

Fractional virus epidemic model on financial networks