Developing the discretization method for fractal‐fractional two‐dimensional Fredholm–Volterra integro‐differential equations
Sign Up to like & getrecommendations! 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
Fractional two-parameter parabolic diffraction-free beams
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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
Approximate Solutions for Time-Fractional Two-Component Evolutionary System of Order $2$ using Coupled Fractional Reduced Differential Transform Method
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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