Browsing by Author "Kadkhoda, Nematollah"

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Citation Count: Jafari, H., Kadkhoda, N., Baleanu, D. (2015). Fractional Lie group method of the time-fractional Boussinesq equation. Nonlinear Dynamics, 81(3), 1569-1574. http://dx.doi.org/10.1007/s11071-015-2091-4
Fractional Lie group method of the time-fractional Boussinesq equation
(Springer, 2015) Jafari, Hossein; Kadkhoda, Nematollah; Baleanu, Dumitru
Finding the symmetries of the nonlinear fractional differential equations is a topic which has many applications in various fields of science and engineering. In this manuscript, firstly, we are interested in finding the Lie point symmetries of the time-fractional Boussinesq equation. After that, by using the infinitesimal generators, we determine their corresponding invariant solutions.
Citation Count: Jafari, Hossein...et al. (2013). "Fractional Subequation Method for Cahn-Hilliard and Klein-Gordon Equations", Abstract and Applied Analysis.
Fractional Subequation Method for Cahn-Hilliard and Klein-Gordon Equations
(Hindawi LTD, 2013) Jafari, Hossein; Tajadodi, Haleh; Kadkhoda, Nematollah; Baleanu, Dumitru; 56389
The fractional subequation method is applied to solve Cahn-Hilliard and Klein-Gordon equations of fractional order. The accuracy and efficiency of the scheme are discussed for these illustrative examples.
Citation Count: Khalili, Yasser; Kadkhoda, Nematollah; Baleanu, Dumitru, "Inverse problems for the impulsive Sturm-Liouville operator with jump conditions", Inverse Problems in Science and Engineering, Vol. 27, No. 10, pp. 1442-1450, (2019).
Inverse problems for the impulsive Sturm-Liouville operator with jump conditions
(Taylor&Francis LTD, 2019) Khalili, Yasser; Kadkhoda, Nematollah; Baleanu, Dumitru; 56389
The inverse problem for impulsive Sturm-Liouville operators with discontinuity conditions is considered. We have shown that all parameters used in the boundary conditions as well as can be uniquely established by a set of values of eigenfunctions at the mid-point and one spectrum. Moreover, we discuss Gesztesy-Simon theorem and show that if the potential function is prescribed on the interval for some , then parts of a finite number of spectra suffice to determine on .
Citation Count: Khalili, Yasser; Kadkhoda, Nematollah; Baleanu, Dumitru (2020). "On the determination of the impulsive Sturm-Liouville operator with the eigenparameter-dependent boundary conditions", Mathematical Methods in the Applied Sciences, Vol. 43, No. 11, pp. 7143-7151.
On the determination of the impulsive Sturm-Liouville operator with the eigenparameter-dependent boundary conditions
(2020) Khalili, Yasser; Kadkhoda, Nematollah; Baleanu, Dumitru; 56389
In the present work, we consider the inverse problem for the impulsive Sturm-Liouville equations with eigenparameter-dependent boundary conditions on the whole interval (0,pi) from interior spectral data. We prove two uniqueness theorems on the potential q(x) and boundary conditions for the interior inverse problem, and using the Weyl function technique, we show that if coefficients of the first boundary condition, that is, h(1),h(2), are known, then the potential function q(x) and coefficients of the second boundary condition, that is, H-1,H-2, are uniquely determined by information about the eigenfunctions at the midpoint of the interval and one spectrum or partial information on the eigenfunctions at some internal points and some of two spectra.