On the Exact Solution of Time-Fractional (2 + 1) Dimensional Konopelchenko–Dubrovsky Equation
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Applied and Computational Mathematics"
DOI: 10.1007/s40819-019-0678-z
Abstract: The analysis of nonlinear equations performs a significant part in examining the physical phenomena. In this article, the exact solution of time-fractional (2 + 1) dimensional Konopelchenko–Dubrovsky equation (KDE) has been derived by utilising the Kudryashov method.… read more here.
Keywords: solution time; time fractional; exact solution; fractional dimensional ... See more keywords
Transitional behaviors of fractional dimensional models of field-induced and space-charge limited emission from rough surfaces
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DOI: 10.1063/5.0139080
Abstract: Electron emission is an important physical phenomenon in both vacuum and solid-state devices. Previously, the effects of surface roughness or interface irregularity have been incorporated in the fractional Fowler–Nordheim (FNα) equation for field emission, the… read more here.
Keywords: fractional dimensional; space charge; emission; limited emission ... See more keywords
Cherenkov FEL Reaction With Plasma-Filled Cylindrical Waveguide in Fractional D-Dimensional Space
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DOI: 10.1109/tps.2021.3084904
Abstract: The possibility of generating an electromagnetic (EM) wave by a free-electron laser (FEL) beam from the Cherenkov device to control the cylindrical waveguide’s field attenuation filled with plasma has been investigated by analytical formalism. This… read more here.
Keywords: cylindrical waveguide; fractional dimensional; cherenkov fel; dimensional space ... See more keywords
Exact Solutions for the Generalized Atangana-Baleanu-Riemann Fractional (3 + 1)-Dimensional Kadomtsev-Petviashvili Equation
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DOI: 10.3390/sym15010003
Abstract: In this article, the generalized Jacobi elliptic function expansion method with four new Jacobi elliptic functions was used to the generalized fractional (3 + 1)-dimensional Kadomtsev–Petviashvili (GFKP) equation with the Atangana-Baleanu-Riemann fractional derivative, and abundant… read more here.
Keywords: fractional dimensional; equation; dimensional kadomtsev; kadomtsev petviashvili ... See more keywords