Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
Browse
2 results
Search Results
Article Citation - WoS: 1Citation - Scopus: 1Studying Heat Conduction in a Sphere Considering Hybrid Fractional Derivative Operator(Vinca inst Nuclear Sci, 2022) Latif, Mohamed S. Abdel; Baleanu, Dumitru; Kader, Abass H. AbdelIn this paper, the fractional heat equation in a sphere with hybrid fractional derivative operator is investigated. The heat conduction is considered in the case of central symmetry with heat absorption. The closed form solution in the form of three parameter Mittag-Leffler function is obtained for two Dirichlet boundary value problems. The joint finite sine Fourier-Laplace transform is used for solving these two problems. The dynamics of the heat transfer in the sphere is illustrated through some numerical examples and figures.Article Citation - WoS: 2Citation - Scopus: 3Dynamics 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, MaasoomahThis 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.