Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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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.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.Article Citation - WoS: 43Citation - Scopus: 44Effects of Non-Linear Thermal Radiation and Chemical Reaction on Time Dependent Flow of Williamson Nanofluid With Combine Electrical Mhd and Activation Energy(Shahid Chamran Univ Ahvaz, Iran, 2021) Waqas, Hassan; Asjad, M., I; Akgul, Ali; Baleanu, Dumitru; Danish, Gulzar Ahmad; Imran, M.; Tahir, MadeehaThe current article will present the impact of the heat and mass transfer of combine electrical MHD flow of time dependent Williamson fluid with nanoparticles by the incorporating the influences of non-linear thermal radiation and the chemical reaction through wedge shape geometry. The fluid flows past a porous stretching wedge with convected Nield boundary conditions. The several (geometrical and physical) conditions have been included to provide more practicable results. The effects of activation energy further discussed. Due to relevant similarity transformation, set of partial differential equations which is non-linear and complicated is converted into simplest system of ordinary differential equations. To obtain the desired solution, famous numerical technique (shooting) used with the help of bvp4c MATLAB coding. The variation physical quantities namely velocity, temperature, concentration of nanoparticles, local Sherwood number, coefficient of skin friction and local Nusselt number have been observed under the influence of emerging parameters. The elaborated discussion presented with graphical and tabular illustrations.Article Citation - WoS: 10Citation - Scopus: 11Exact Solution for Nonlinear Local Fractional Partial Differential Equations(Shahid Chamran Univ Ahvaz, Iran, 2020) Cherif, Mountassir Hamdi; Baleanu, Dumitru; Belghaba, Kacem; Ziane, DjelloulIn this work, we extend the existing local fractional Sumudu decomposition method to solve the nonlinear local fractional partial differential equations. Then, we apply this new algorithm to resolve the nonlinear local fractional gas dynamics equation and nonlinear local fractional Klein-Gordon equation, so we get the desired non-differentiable exact solutions. The steps to solve the examples and the results obtained, showed the flexibility of applying this algorithm, and therefore, it can be applied to similar examples.Article Citation - WoS: 30Citation - Scopus: 51A Novel Approach for Korteweg-De Vries Equation of Fractional Order(Shahid Chamran Univ Ahvaz, Iran, 2019) Baleanu, Dumitru; Jassim, Hassan KamilIn this study, the local fractional variational iteration method (LFVIM) and the local fractional series expansion method (LFSEM) are utilized to obtain approximate solutions for Korteweg-de Vries equation (KdVE) within local fractional derivative operators (LFDOs). The efficiency of the considered methods is illustrated by some examples. The results reveal that the suggested algorithms are very effective and simple and can be applied for linear and nonlinear problems in mathematical physics.