Browsing by Author "Akram, Ghazala"

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Citation - WoS: 2
Citation - Scopus: 3
Dynamics of Unsteady Fluid-Flow Caused by a Sinusoidally Varying Pressure Gradient Through a Capillary Tube With Caputo-Fabrizio Derivative
(Vinca inst Nuclear Sci, 2023) Perveen, Zahida; Zainab, Iqra; Akram, Ghazala; Abbas, Muhammad; Baleanu, Dumitru; Sadaf, Maasoomah
This paper presents a study of the unsteady flow of second grade fluid through a capillary tube, caused by sinusoidally varying pressure gradient, with fractional derivative model. The fractional derivative is taken in Caputo-Fabrizio sense. The analytical solution for the velocity profile has been obtained for non-homogenous boundary conditions by employing the Laplace transform and the finite Hankel transform. The influence of order of Caputo-Fabrizio time-fractional derivative and time parameter on fluid motion is discussed graphically.
Solitary wave solutions to Gardner equation using improved tan(Ω(Υ)/2-expansion method
(2023) Akram, Ghazala; Sadaf, Maasoomah; Dawood, Mirfa; Abbas, Muhammad; Baleanu, Dumitru
In this study, the improved tan(Ω(Υ)/2-expansion method is used to construct a variety of precise soliton and other solitary wave solutions of the Gardner equation. Gardner equation is extensively utilized in plasma physics, quantum field theory, solid-state physics and fluid dynamics. It is the simplest model for the description of water waves with dual power law nonlinearity. Hyperbolic, exponential, rational and trigonometric traveling wave solutions are obtained. The retrieved solutions include kink solitons, bright solitons, dark-bright solitons and periodic wave solutions. The efficacy of this method is determined by the comparison of the newly obtained results with already reported results.