WoS İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653
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Article Citation - WoS: 30Citation - Scopus: 38Modified Kawahara Equation Within a Fractional Derivative With Non-Singular Kernel(Vinca inst Nuclear Sci, 2018) Singh, Jagdev; Baleanu, Dumitru; Kumar, DevendraThe article addresses a time fractional modified Kawahara equation through a fractional derivative with exponential kernel. The Kawahara equation describes the generation of non-linear water-waves in the long-wavelength regime. The numerical solution of the fractional model of modified version of Kawahara equation is derived with the help of iterative scheme and the stability of applied technique is established. In order to demonstrate the usability and effectiveness of the new fractional derivative to describe water-waves in the long-wavelength regime, numerical results are presented graphically.Article Citation - WoS: 24Citation - Scopus: 25A New Fractional Model for Convective Straight Fins With Temperature-Dependent Thermal Conductivity(Vinca inst Nuclear Sci, 2018) Singh, Jagdev; Baleanu, Dumitru; Kumar, DevendraThe key aim of this work is to present a new non-integer model for convective straight fins with temperature-dependent thermal conductivity associated with Caputo-Fabrizio fractional derivative. The fractional energy balance equation is solved by using homotopy perturbation method coupled with Laplace transform method. The efficiency of straight fin has been derived in terms of thermo-geometric fin parameter. The numerical results derived by the application of suggested scheme are demonstrated graphically. The subsequent correlation equations are very helpful for thermal design scientists and engineers to design straight fins having temperature-dependent thermal conductivity.