Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - Scopus: 18Role of Magnetic Field on the Dynamical Analysis of Second Grade Fluid: An Optimal Solution Subject to Non-Integer Differentiable Operators(Shahid Chamran University of Ahvaz, 2021) Baleanu, Dumitru; Riaz, Muhammad Bilal; Saeed, Syed TauseefArticle Citation - WoS: 5Citation - Scopus: 3Modified Atangana-Baleanu Fractional Differential Operators(inst Mathematics & Mechanics, Natl Acad Sciences Azerbaijan, 2022) Baleanu, Dumitru; Ibrahim, Rabha W.Fractional differential operators are mostly investigated for functions of real variables. In this paper, we present two fractional differential operators for a class of normalized analytic functions in the open unit disk. The suggested operators are investigated according to concepts in geometric function theory, using the concepts of convexity and starlikeness. Therefore, we reformulate the new operators in the Ma-Minda class of analytic functions, in order to act on normalized analytic functions. Our method is based on subordination, superordination, and majorization theory. As an application, we employ these operators to generalize Bernoulli's equation and a special class of Briot-Bouquet equations. The solution of the generalized equation is formulated by a hypergeometric function.Article Citation - WoS: 19Citation - Scopus: 18Role of Magnetic Field on the Dynamical Analysis of Second Grade Fluid: an Optimal Solution Subject To Non-Integer Differentiable Operators(Shahid Chamran Univ Ahvaz, Iran, 2021) Saeed, Syed Tauseef; Baleanu, Dumitru; Riaz, Muhammad BilalThe dynamical analysis of MHD second grade fluid based on their physical properties has stronger resistance capabilities, low-frequency responses, lower energy consumption, and higher sensitivities; due to these facts externally applied magnetic field always takes the forms of diamagnetic, ferromagnetic and paramagnetic. The mathematical modeling based on the fractional treatment of governing equation subject to the temperature distribution, concentration, and velocity field is developed within a porous surfaced plate. Fractional differential operators with and without non-locality have been employed on the developed governing partial differential equations. The mathematical analysis of developed fractionalized governing partial differential equations has been established by means of systematic and powerful techniques of Laplace transform with its inversion. The fractionalized analytical solutions have been traced out separately through Atangana-Baleanu and Caputo-Fabrizio fractional differential operators. Our results suggest that the velocity profile decrease by increasing the value of the Prandtl number. The existence of a Prandtl number may reflect the control of the thickness of momentum and enlargement of thermal conductivity.