AIP Conference Proceedings, vol.1637, pp.283-289, 2014 (SCI-Expanded)
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AIP Conference Proceedings
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Nonlinear Time-Fractional Klein-Gordon Equation, Generalized Kudryashov Method, Soliton Solutions, Hyperbolic Function Solutions, FINDING EXACT-SOLUTIONS
Yozgat Bozok University Affiliated:
In this study, we consider exact solutions of nonlinear time-fractional Klein-Gordon equation by using generalized Kudryashov method (GKM). The nonlinear time-fractional Klein-Gordon equation can be converted into nonlinear ordinary differantial equation by transformation. Consequently, GKM has been implemented to find exact solutions of nonlinear time-fractional Klein-Gordon equation and we obtain some new solutions such as soliton solutions and hyperbolic function solutions. Moreover, we point out that this method is a generalized form of classical Kudryashov Method.