TY - JOUR ID - 16575 TI - Solving Duffing-Van der Pol Oscillator Equations of Fractional ‎Order by an Accurate Technique JO - Journal of Applied and Computational Mechanics JA - JACM LA - en SN - AU - Attia, Nourhane AU - Seba, Djamila AU - Akgül, Ali AU - Nour, Abdelkader AD - Dynamic of Engines and Vibroacoustic Laboratory, University M'hamed Bougara of Boumerdes, Boumerdes, 35000, Algeria AD - Art and Science Faculty, Department of Mathematics, Siirt University, Siirt, TR-56100, Turkey Y1 - 2021 PY - 2021 VL - 7 IS - 3 SP - 1480 EP - 1487 KW - Duffing-Van der Pol oscillator Equations of Fractional Order KW - Method of Reproducing Kernel Hilbert Space KW - Caputo derivative KW - ‎Convergence KW - Numerical Solutions‎ DO - 10.22055/jacm.2021.35369.2642 N2 - 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. UR - https://jacm.scu.ac.ir/article_16575.html L1 - https://jacm.scu.ac.ir/article_16575_f83ab0f83dbb06049d5cb8d61b2ffdb8.pdf ER -