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Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 491359, 13 pages
The Extended Trial Equation Method for Some Time Fractional Differential Equations
1Department of Mathematics, Faculty of Science and Arts, Bozok University, 66100 Yozgat, Turkey
2Department of Mathematics, Faculty of Science, Ege University, 35100 Izmir, Turkey
Received 21 February 2013; Revised 25 March 2013; Accepted 14 April 2013
Academic Editor: Ferhan M. Atici
Copyright © 2013 Yusuf Pandir et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Citations to this Article [15 citations]
The following is the list of published articles that have cited the current article.
- Fethi Bin Muhammad Belgacem, Hasan Bulut, Haci Mehmet Baskonus, and Tolga Akturk, “Mathematical analysis of the Generalized Benjamin and Burger-Kdv Equations via the Extended Trial Equation Method,” Journal of the Association of Arab Universities for Basic and Applied Sciences, 2013.
- Hasan Bulut, “Classification of Exact Solutions for Generalized Form of Equation,” Abstract and Applied Analysis, vol. 2013, pp. 1–11, 2013.
- Cheng-shi Liu, “Counterexamples on Jumarie’s two basic fractional calculus formulae,” Communications in Nonlinear Science and Numerical Simulation, 2014.
- Haci Mehmet Baskonus, Hasan Bulut, and Yusuf Pandir, “On the Solution of Nonlinear Time-Fractional Generalized Burgers Equation by Homotopy Analysis Method and Modified Trial Equation Method,” International Journal of Modeling and Optimization, vol. 4, no. 4, pp. 305–309, 2014.
- Hasan Bulut, Yusuf Pandir, and Seyma Tuluce Demiray, “Exact solutions of nonlinear Schrodinger’s equation with dual power-law nonlinearity by extended trial equation method,” Waves in Random and Complex Media, pp. 1–13, 2014.
- Hasan Bulut, Yusuf Pandir, and Seyma Tuluce Demiray, “Exact Solutions of Time-Fractional KdV Equations by Using Generalized Kudryashov Method,” International Journal of Modeling and Optimization, vol. 4, no. 4, pp. 315–320, 2014.
- Yusuf Pandir, “New exact solutions of the generalized Zakharov–Kuznetsov modified equal-width equation,” Pramana, 2014.
- Seyma Tuluce Demiray, and Hasan Bulut, “Some exact solutions of generalized Zakharov system,” Waves in Random and Complex Media, pp. 1–16, 2014.
- B. A. Jacobs, and C. Harley, “Two Hybrid Methods for Solving Two-Dimensional Linear Time-Fractional Partial Differential Equations,” Abstract and Applied Analysis, vol. 2014, pp. 1–10, 2014.
- Seyma Tuluce Demiray, Yusuf Pandir, and Hasan Bulut, “Generalized Kudryashov Method for Time-Fractional Differential Equations,” Abstract and Applied Analysis, vol. 2014, pp. 1–13, 2014.
- Seyma Demiray, and Hasan Bulut, “New Exact Solutions of the New Hamiltonian Amplitude Equation and Fokas Lenells Equation,” Entropy, vol. 17, no. 9, pp. 6025–6043, 2015.
- Seyma Tuluce Demiray, Yusuf Pandir, and Hasan Bulut, “New solitary wave solutions of Maccari system,” Ocean Engineering, vol. 103, pp. 153–159, 2015.
- Seyma Tuluce Demiray, Yusuf Pandir, and Hasan Bulut, “New soliton solutions for Sasa–Satsuma equation,” Waves in Random and Complex Media, pp. 1–12, 2015.
- Byron A. Jacobs, “High-order compact finite difference and laplace transform method for the solution of time-fractional heat equations with dirchlet and neumann boundary conditions,” Numerical Methods for Partial Differential Equations, 2015.
- Seyma Tuluce Demiray, Yusuf Pandir, and Hasan Bulut, “All exact travelling wave solutions of Hirota equation and Hirota–Maccari system,” Optik - International Journal for Light and Electron Optics, 2015.