Reconstruction of an initial function from the solutions of the fractional wave equation on the light cone trace
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DOI: 10.1002/mma.10078
Abstract: We reconstruct the initial functions from the trace of the solution of an initial value problem for the wave equation on the light cone. A method to recover the initial function from the solution of… read more here.
Keywords: equation; fractional wave; light cone; wave equation ... See more keywords
A new fractional wave packet transform
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DOI: 10.1016/j.ijleo.2021.166357
Abstract: Abstract The fractional Fourier transform (FRFT) has been shown to be powerful tool for optics and signal processing. However, it fails in locating the fractional domain frequency contents which is required in some applications. In… read more here.
Keywords: new fractional; fractional wave; packet transform; wave packet ... See more keywords
Numerical algorithms for multidimensional time-fractional wave equation of distributed-order with a nonlinear source term
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DOI: 10.1186/s13662-018-1817-2
Abstract: Fractional differential equations (FDEs) of distributed-order are important in depicting the models where the order of differentiation distributes over a certain range. Numerically solving this kind of FDEs requires not only discretizations of the temporal… read more here.
Keywords: distributed order; order; time fractional; fractional wave ... See more keywords
The Time–Fractional Wave Equation with Variable Coefficients
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DOI: 10.3390/math13152369
Abstract: In this paper, we primarily use the inverse operator method to find a unique series solution to a time–fractional wave equation with variable coefficients based on the Mittag–Leffler function. In addition, we also derive the… read more here.
Keywords: equation; equation variable; fractional wave; wave equation ... See more keywords
Numerically Efficient Methods for Variational Fractional Wave Equations: An Explicit Four-Step Scheme
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DOI: 10.3390/math7111095
Abstract: In this work, we investigate numerically a one-dimensional wave equation in generalized form. The system considers the presence of constant damping and functional anomalous diffusion of the Riesz type. Reaction terms are also considered, in… read more here.
Keywords: numerically efficient; system; fractional wave; scheme ... See more keywords