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Fractional nonlinear systems with sequential operators

100%
Mozyrska D., Girejko E., Wyrwas M.
Open Physics
|
2013
|
vol. 11
|
issue 10
1295-1303
EN
In the paper possible approximation of solutions to initial value problems stated for fractional nonlinear equations with sequential derivatives of Caputo type is presented. We proved that values of Caputo derivatives in continuous case can be approximated by corresponding values of h-difference operators with h being small enough. Numerical examples are presented.
2
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Existence and approximation of solutions of fractional order iterative differential equations

88%
Deng J., Wang J.
Open Physics
|
2013
|
vol. 11
|
issue 10
1377-1386
EN
In this paper, we investigate existence and approximation of solutions of fractional order iterative differential equations by virtue of nonexpansive mappings, fractional calculus and fixed point methods. Three existence theorems as well as convergence theorems for a fixed point iterative method designed to approximate these solutions are obtained in two different work spaces via Chebyshev’s norm, Bielecki’s norm and β norm. Finally, an example is given to illustrate the obtained results.
3
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Comparison of approximation methods of positive stable continuous-time linear systems by positive stable discrete-time systems

88%
Kaczorek T.
Archives of Electrical Engineering
|
2013
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vol. 62
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issue 2
4
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An Analysis of Deviations of Cylindrical Surfaces with the Use of Wavelet Transform

88%
Stępień K., Makieła W.
Metrology and Measurement Systems
|
2013
|
issue 1
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