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101.066  Articles
1 of 10.108 pages  |  10  records  |  more records»
A positive linear fractional transformation (PLFT) is a function of the form f(z)=az+bcz+df(z)=\frac{az+b}{cz+d} where a,b,ca,b,c and dd are nonnegative integers with determinant ad-bc?0ad-bc\neq 0. Nathanson generalized the notion of the Calkin-Wilf... see more

In this research work, let’s focus on the construction of numerical scheme based on radial basis functions finite difference (RBF-FD) method combined with the Laplace transform for the solution of fractional order dispersive wave equations. The numerical ... see more

We have showed the results obtained in [1] are incorrect and the fractional complex transform is invalid to the fractional differential equation which contain modified Riemann-Liouville fractional derivative.

By a counterexample, we prove that the results obtained in [1] are incorrect and there exist some theoretical mistakes in fractional complex transform.

In this paper, we applied relatively new fractional complex transform (FCT) to convert the given fractional partial differential equations (FPDEs) into corresponding partial differential equations (PDEs) and Variational Iteration Method (VIM) is to find a... see more

A positive linear fractional transformation (PLFT) is a function of the form f(z)=az+bcz+df(z)=\frac{az+b}{cz+d} where a,b,ca,b,c and dd are nonnegative integers with determinant ad-bc?0ad-bc\neq 0. Nathanson generalized the notion of the Calkin-Wilf... see more

It is time and memory consuming when numerically solving time fractional differential equations as it requires O(N^2) computational cost and O(NM) memory complexity. N and M are the total number of time levels and space grid points, respectively. In this ... see more

In this work, we extended the work of Sheen et al., 2003 for the numerical solution of multi-term fractional order linear differential equations by an integral representation in the complex plane. The resultant integral is approximated to high o... see more

An encryption algorithm for hyperspectral data in fractional Fourier domain is designed. Firstly, the original hyperspectral image is separated into single bands and then each pair of bands are regarded as the real and imaginary part of a complex function... see more

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