Geodesic
Obtaining Voigt Functions Via Quadrature Formula for the Fractional in Time Diffusion and Wave Problem
Kragujevac Journal of Mathematics, Tome 46 (2022) no. 5, p. 759

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In many given physical problems and in the course of dispersion curve through a spectral line under the influence of the Doppler-effect and in collision damping, the Voigt functions have been widely utilized. By taking advantage of the fractional calculus in spectral theory and the Sturm-Liouville problems, in this paper, we obtain the Voigt functions via the quadrature formulae of one dimensional fractional in time evolution diffusion and wave problems consisting of different initial and inhomogeneous boundary conditions.
Classification : 26A33, 35M33, 35M12, 44A30
Keywords: Caputo fractional derivative, Sturm-Liouville diffusion and wave problem, non-zero zeros of Bessel function, Voigt functions 
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     author = {Hemant Kumar and M. A. Pathan and Surya Kant Rai},
     title = {Obtaining {Voigt} {Functions} {Via} {Quadrature} {Formula} for the {Fractional} in {Time} {Diffusion} and {Wave} {Problem}},
     journal = {Kragujevac Journal of Mathematics},
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Hemant Kumar; M. A. Pathan; Surya Kant Rai. Obtaining Voigt Functions Via Quadrature Formula for the Fractional in Time Diffusion and Wave Problem. Kragujevac Journal of Mathematics, Tome 46 (2022) no. 5, p. 759 . http://geodesic.mathdoc.fr/item/KJM_2022_46_5_a7/