Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - Scopus: 22Heat and Mass Transfer of Natural Convective Flow with Slanted Magnetic Field via Fractional Operators(Shahid Chamran University of Ahvaz, 2021) Baleanu, Dumitru; Iftikha, Nazishr; Riaz, Muhammad Bilal; Husnine, Syed MuhammadArticle Citation - WoS: 2Citation - Scopus: 2Fractional Hamiltonian Systems: Nested Ellipsoids(Pergamon-elsevier Science Ltd, 2025) Ugurlu, EkinIn this paper, we introduce a singular fractional-order Hamiltonian system with several spectral parameters. Using the inertia indices of the corresponding Hermitian forms we provide a lower bound for the number of linearly independent integrable-square solutions. Moreover, we introduce the Titchmarsh-Weyl function together with an intermediate theorem on the number of the integrable-square solutions. At the end of the paper, we show that 2-sequential and 4-sequential scalar fractional-order differential equations can be embedded into such Hamiltonian systems.Article Citation - WoS: 17Citation - Scopus: 22Heat and Mass Transfer of Natural Convective Flow With Slanted Magnetic Field Via Fractional Operators(Shahid Chamran Univ Ahvaz, Iran, 2021) Husnine, Syed Muhammad; Baleanu, Dumitru; Riaz, Muhammad Bilal; Iftikhar, Nazish; Iftikha, NazishrThis article explores the MHD natural convective viscous and incompressible fluid flow along with radiation and chemical reaction. The flow is confined to a moving tilted plate under slanted magnetic field with variable temperature in a porous medium. Non-dimensional parameter along Laplace transformation and inversion algorithm are used to investigate the solution of system of dimensionless governing equations. Fractional differential operators namely, Caputo (C), Caputo-Fabrizio (CF) and Atangana-Baleanu in Caputo sense (ABC) are used to compare graphical behavior of for velocity, temperature and concentration for emerging parameters. On comparison, it is observed that fractional order model is better in explaining the memory effect as compared to classical model. Velocity showing increasing behavior for fractional parameter a whereas there is a decline in temperature, and concentration profiles for alpha. Fluid velocity goes through a decay due to rise in the values of M, Sc and phi. However, velocity shows a reverse profile for augmented inputs of K-p, G(r) and S. Tabular comparison is made for velocity and Nusselt number and Sherwood number for fractional models.