Articles with "fractional two" as a keyword



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Developing the discretization method for fractal‐fractional two‐dimensional Fredholm–Volterra integro‐differential equations

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Published in 2021 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.7694

Abstract: This paper contains the computational approach based on Mott polynomials together with the two‐dimensional Legendre–Gauss (LG) quadrature rule for fractal‐fractional two‐dimensional Fredholm–Volterra (FF‐2D‐FV) integro‐differential equations. Furthermore, we applied the modified operational matrices of integration and… read more here.

Keywords: fredholm volterra; fractal fractional; volterra integro; fractional two ... See more keywords
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Fractional two-parameter parabolic diffraction-free beams

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Published in 2019 at "Optics Communications"

DOI: 10.1016/j.optcom.2019.05.071

Abstract: Abstract We consider two-parameter real-valued parabolic diffraction-free beams. An analytical expression for the complex amplitude of the beam is obtained using the superposition of the Bessel functions. Symmetry properties of beams are analyzed and numerically… read more here.

Keywords: diffraction free; parameter; two parameter; parabolic diffraction ... See more keywords
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Approximate Solutions for Time-Fractional Two-Component Evolutionary System of Order $2$ using Coupled Fractional Reduced Differential Transform Method

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Published in 2017 at "Journal of Applied Analysis and Computation"

DOI: 10.11948/2017080

Abstract: In this paper, Coupled Fractional Reduced Differential Transform method is extended to apply to the generalized time-fractional two-component evolutionary system of order 2. By using this method, the solutions in the form of a generalized… read more here.

Keywords: component evolutionary; time fractional; method; evolutionary system ... See more keywords