Search Results - "Muslih, Sami I."
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1
Propagation of Electromagnetic Waves in Fractional Space Time Dimensions
Published in Foundations of physics (01-04-2023)“…In this paper, we investigate non-homogeneous wave equations in fractional space-time domains of space dimension D , 0 < D ≤ 3 and time dimension β , 0 < β ≤ 1…”
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2
Generalized variational calculus in terms of multi-parameters fractional derivatives
Published in Communications in nonlinear science & numerical simulation (01-12-2011)“…► Two new generalizations of fractional variational formulations are proposed. ► Firstly, fractional Euler -Lagrange equations are developed for functionals…”
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3
Conservation Laws of Fractional Classical Fields
Published in International journal of applied and computational mathematics (01-10-2023)“…This paper presents a formulation of Noether’s theorem for fractional classical fields. We extend the variational formulations for fractional discrete systems…”
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4
Hamiltonian formulation of systems with linear velocities within Riemann–Liouville fractional derivatives
Published in Journal of mathematical analysis and applications (15-04-2005)“…The link between the treatments of constrained systems with fractional derivatives by using both Hamiltonian and Lagrangian formulations is studied. It is…”
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5
The Hamilton formalism with fractional derivatives
Published in Journal of mathematical analysis and applications (15-03-2007)“…Recently the traditional calculus of variations has been extended to be applicable for systems containing fractional derivatives. In this paper the passage…”
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6
Solving Conformable Gegenbauer Differential Equation and Exploring Its Generating Function
Published in International journal of applied and computational mathematics (2024)“…In this manuscript, we address the resolution of conformable Gegenbauer differential equations with an order of α , where α ∈ (0,1). We demonstrate that our…”
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7
Lagrangian Formulation of Classical Fields within Riemann-Liouville Fractional Derivatives
Published in Physica scripta (2005)Get full text
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8
On fractional Euler–Lagrange and Hamilton equations and the fractional generalization of total time derivative
Published in Nonlinear dynamics (01-07-2008)“…Fractional mechanics describe both conservative and nonconservative systems. The fractional variational principles gained importance in studying the fractional…”
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9
Hamilton–Jacobi and fractional like action with time scaling
Published in Nonlinear dynamics (01-12-2011)“…This paper represents the Hamilton–Jacobi formulation for fractional variational problem with fractional like action written as an integration over a time…”
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10
Fractional Euler—Lagrange Equations of Motion in Fractional Space
Published in Journal of vibration and control (01-09-2007)“…Fractional variational principles have gained considerable importance during the last decade due to their various applications in several areas of science and…”
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11
Quantization of fractional systems using WKB approximation
Published in Communications in nonlinear science & numerical simulation (01-04-2010)“…The Caputo’s fractional derivative is used to quantize fractional systems using (WKB) approximation.The wave function is build such that the phase factor is…”
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12
Hamilton–Jacobi formulation of systems within Caputo's fractional derivative
Published in Physica scripta (01-01-2008)Get full text
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13
Nonconservative Systems within Fractional Generalized Derivatives
Published in Journal of vibration and control (01-09-2008)“…A fractional derivative generalizes an ordinary derivative, and therefore the derivative of the product of two functions differs from that for the classical…”
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14
Fractional WKB approximation
Published in Nonlinear dynamics (01-07-2009)“…Wentzel–Kramer–Brillouin (WKB) approximation for fractional systems is investigated in this paper using the fractional calculus. In the fractional case, the…”
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15
Hamiltonian formulation of classical fields within Riemann–Liouville fractional derivatives
Published in Physica scripta (01-05-2006)Get full text
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16
Heisenberg's Equations of Motion with Fractional Derivatives
Published in Journal of vibration and control (01-09-2007)“…Fractional variational principles is a new topic in the field of fractional calculus and it has been subject to intense debate during the last few years. One…”
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17
On fractional Schrödinger equation in -dimensional fractional space
Published in Nonlinear analysis: real world applications (01-06-2009)“…The Schrodinger equation is solved in a-dimensional fractional space with a Coulomb potential proportional to , 2 < =b < =4. The wave functions are studied in…”
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18
Solutions of a Particle with Fractional δ-Potential in a Fractional Dimensional Space
Published in International journal of theoretical physics (01-09-2010)“…A Fourier transformation in a fractional dimensional space of order λ (0< λ ≤1) is defined to solve the Schrödinger equation with Riesz fractional derivatives…”
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19
A Fractional Schrödinger Equation and Its Solution
Published in International journal of theoretical physics (01-08-2010)“…This paper presents a fractional Schrödinger equation and its solution. The fractional Schrödinger equation may be obtained using a fractional variational…”
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20
Fractional multipoles in fractional space
Published in Nonlinear analysis: real world applications (01-02-2007)“…Gauss’ law in α -dimensional fractional space is investigated. The electrostatic potential with β th-order fractional multipole is obtained in α -dimensionally…”
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