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International Journal of Computer Mathematics Volume 87, 2010 - Issue 5
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Section B Special Section: New Analytical Methods

Series solutions of a fractional oscillator by means of the homotopy perturbation method

Ahmet Yıldırım Department of Mathematics, Faculty of Science, Ege University , 35100, Bornova-İzmir, Turkey
&
Shaher Momani Department of Mathematics, Mutah University , P.O. Box 7, Al-Karak, Jordan
Pages 1072-1082 | Received 26 Dec 2008, Accepted 31 May 2009, Published online: 10 May 2010

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D. Younesian, H. Askari, Z. Saadatnia & M. KalamiYazdi. (2012) Analytical approximate solutions for the generalized nonlinear oscillator. Applicable Analysis 91:5, pages 965-977.
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Articles from other publishers (7)

Shah Jahan, Shahid Ahmed, Pooja Yadav & Kottakkaran Sooppy Nisar. (2023) Fibonacci wavelet method for the numerical solution of a fractional relaxation–oscillation model. Partial Differential Equations in Applied Mathematics 8, pages 100568.
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Kottakkaran Sooppy Nisar & Firdous A. Shah. (2022) A numerical scheme based on Gegenbauer wavelets for solving a class of relaxation–oscillation equations of fractional order. Mathematical Sciences 17:3, pages 233-245.
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Firdous A. Shah & Rustam Abass. (2019) Solution of fractional oscillator equations using ultraspherical wavelets. International Journal of Geometric Methods in Modern Physics 16:05, pages 1950075.
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Noreen Sher AkbarS. NadeemT. HayatAwatif A. Hendi. (2012) Analytical and Numerical Analysis of Vogel’s Model of Viscosity on the Peristaltic Flow of Jeffrey Fluid. Journal of Aerospace Engineering 25:1, pages 64-70.
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Naeem Faraz, Yasir Khan, Hossein Jafari, Ahmet Yildirim & M. Madani. (2011) Fractional variational iteration method via modified Riemann–Liouville derivative. Journal of King Saud University - Science 23:4, pages 413-417.
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Noreen Sher Akbar, T. Hayat, S. Nadeem & Awatif A. Hendi. (2011) Effects of slip and heat transfer on the peristaltic flow of a third order fluid in an inclined asymmetric channel. International Journal of Heat and Mass Transfer 54:7-8, pages 1654-1664.
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Hüseyin Koçak & Ahmet Yıldırım. (2009) Numerical solution of 3D Green's function for the dynamic system of anisotropic elasticity. Physics Letters A 373:35, pages 3145-3150.
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