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Browsing by Author "Khalique, C. M."

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    Citation - WoS: 129
    Citation - Scopus: 155
    A New Approach for Solving a System of Fractional Partial Differential Equations
    (Pergamon-elsevier Science Ltd, 2013) Nazari, M.; Baleanu, D.; Khalique, C. M.; Jafari, H.; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    In this paper we propose a new method for solving systems of linear and nonlinear fractional partial differential equations. This method is a combination of the Laplace transform method and the Iterative method and here after called the Iterative Laplace transform method. This method gives solutions without any discretization and restrictive assumptions. The method is free from round-off errors and as a result the numerical computations are reduced. The fractional derivative is described in the Caputo sense. Finally, numerical examples are presented to illustrate the preciseness and effectiveness of the new technique. (C) 2012 Elsevier Ltd. All rights reserved.
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    Citation - WoS: 12
    Citation - Scopus: 13
    On the Exact Solutions of Nonlinear Long-Short Wave Resonance Equations
    (Editura Acad Romane, 2015) Jafari, H.; Baleanu, Dumitru; Soltani, R.; Khalique, C. M.; Baleanu, D.; 56389; Matematik; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    The long-short wave resonance model arises when the phase velocity of a long wave matches the group velocity of a short wave. In this paper, the first integral method is used to construct exact solutions of the nonlinear long-short wave resonance equations. One-soliton solutions are also obtained using the travelling wave hypothesis.