Browsing by Author "Perveen, Zahida"

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Citation - WoS: 2
Citation - Scopus: 2
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) Sadaf, Maasoomah; Baleanu, Dumitru; Perveen, Zahida; Zainab, Iqra; Akram, Ghazala; Abbas, Muhammad; Baleanu, Dumitru; 56389; Matematik
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.
Citation - WoS: 13
Citation - Scopus: 13
Hermite-Hadamard-Fejer type inequalities via fractional integral of a function concerning another function
(Amer inst Mathematical Sciences-aims, 2021) Baleanu, Dumitru; Baleanu, Dumitru; Samraiz, Muhammad; Perveen, Zahida; Iqbal, Sajid; Nisar, Kottakkaran Sooppy; Rahman, Gauhar; 56389; Matematik
In this paper, we at first develop a generalized integral identity by associating RiemannLiouville (RL) fractional integral of a function concerning another function. By using this identity estimates for various convexities are accomplish which are fractional integral inequalities. From our results, we obtained bounds of known fractional results which are discussed in detail. As applications of the derived results, we obtain the mid-point-type inequalities. These outcomes might be helpful in the investigation of the uniqueness of partial differential equations and fractional boundary value problems.