WoS İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653
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Article Citation - WoS: 6Citation - Scopus: 7On Fractional Kdv-Burgers and Potential Kdv Equations Existence and Uniqueness Results(Vinca inst Nuclear Sci, 2019) Inc, Mustafa; Baleanu, Dumitru; Hashemi, Mir SajjadRecently a new kind of derivatives, namely the conformable derivative is introduced which have not many drawbacks of other fractional derivatives. Two types of KdV equations with conformable derivative are investigated in this paper. Existence and uniqueness of two different equations of KdV class with conformable derivatives are investigated. It is also shown that the invariant subspace method can be extended to find the exact solutions of these equations.Article Citation - WoS: 14Citation - Scopus: 13New Method for Investigating the Density-Dependent Diffusion Nagumo Equation(Vinca inst Nuclear Sci, 2018) Hashemi, Mir Sajjad; Inc, Mustafa; Baleanu, Dumitru; Khan, Hasib; Akgul, AliWe apply reproducing kernel method to the density-dependent diffusion Nagumo equation. Powerful method has been applied by reproducing kernel functions. The approximations to the exact solution are obtained. In particular, series solutions are obtained. These solutions demonstrate the certainty of the method The results acquired in this work conceive many attracted behaviors that assure further work on the Nagumo equation.Article Citation - WoS: 2Citation - Scopus: 2Singularly Perturbed Burgers-Huxley Equation by a Meshless Method(Vinca inst Nuclear Sci, 2017) Baleanu, Dumitru; Barghi, Hakimeh; Hashemi, Mir SajjadA meshless method based upon radial basis function is utilized to approximate the singularly perturbed Burgers-Huxley equation with the viscosity coefficient epsilon. The proposed method shows that the obtained solutions are reliable and accurate. Convergence analysis of method was analyzed in a numerical way for different small values of singularity parameter.Conference Object Citation - WoS: 40Citation - Scopus: 36Solving the Time-Fractional Diffusion Equation Using a Lie Group Integrator(Vinca inst Nuclear Sci, 2015) Baleanu, Dumitru; Parto-Haghighi, Mohammad; Darvishi, Elham; Hashemi, Mir SajjadIn this paper, we propose a numerical method to approximate the solutions of time fractional diffusion equation which is in the class of Lie group integrators. Our utilized method, namely fictitious time integration method transforms the unknown dependent variable to a new variable with one dimension more. Then the group preserving scheme is used to integrate the new fractional partial differential equations in the augmented space R3+1. Effectiveness and validity of method demonstrated using two examples.