Title of article
solving duffing-van der pol oscillator equations of fractional order by an accurate technique
Author/Authors
attia, nourhane university m hamed bougara of boumerdes - dynamic of engines and vibroacoustic laboratory, boumerdes, algeria , seba, djamila university m hamed bougara of boumerdes - dynamic of engines and vibroacoustic laboratory, boumerdes, algeria , akgül, ali siirt university - art and science faculty - department of mathematics, siirt, turkey , nour, abdelkader university m hamed bougara of boumerdes - dynamic of engines and vibroacoustic laboratory, boumerdes, algeria
From page
1480
To page
1487
Abstract
in this paper, an accurate technique is used to find an approximate solution to the fractional-order duffing-van der pol (dvp, for short) oscillators equation which is reproducing kernel hilbert space (rkhs, for short ) method. the numerical results show that the n-term approximation is a rapidly convergent series representation and they present also the high accuracy and effectiveness of this method. the efficiency of the proposed method has been proved by the theoretical predictions and confirmed by the numerical experiments.
Keywords
duffing , van der pol oscillator equations of fractional order , method of reproducing kernel hilbert space , caputo derivative , convergence , numerical solutions
Journal title
Journal of Applied and Computational Mechanics
Journal title
Journal of Applied and Computational Mechanics
Record number
2652899
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