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13 papers
Solving conformable Gegenbauer differential equation and exploring its generating function
Mohamed Ghaleb Al-Masaeed, Eqab. M. Rabei, Sami I. Muslih +1
In this manuscript, we address the resolution of conformable Gegenbauer differential equations. We demonstrate that our solution aligns precisely with the results obtained through…
The deffect effect on electronic conductance in binomially tailored quantum wire
H. S. Ashour, A. I. Assad, M. Shabat
The paper considers the effect of the defects on the electronic transmission properties in binomially tailored waveguide quantum wires, in which each Dirac delta function potential…
Hamilton-Jacobi formulation of systems within Caputo's fractional derivative
Eqab M. Rabei, Ibtesam Almayteh, Sami I. Muslih +1
In this paper we develop a fractional Hamilton-Jacobi formulation for discrete systems in terms of fractional Caputo derivatives. The fractional action function is obtained and the…
Fractional Hamiltonian analysis of higher order derivatives systems
Dumitru Baleanu, Sami I. Muslih, Kenan Tas
The fractional Hamiltonian analysis of 1+1 dimensional field theory is investigated and the fractional Ostrogradski's formulation is obtained. The fractional path integral of both…
Lagrangian formulation of classical fields within Riemann-Liouville fractional derivatives
D. Baleanu, S. Muslih
The classical fields with fractional derivatives are investigated by using the fractional Lagrangian formulation.The fractional Euler-Lagrange equations were obtained and two examp…
Hamiltonian formulation of systems with linear velocities within Riemann-Liouville fractional derivatives
S. Muslih, D. Baleanu
The link between the treatments of constrained systems with fractional derivatives by using both Hamiltonian and Lagrangian formulations is studied. It is shown that both treatment…