Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Correction A New Approach To Increase the Flexibility of Curves and Regular Surfaces Produced by 4-Point Ternary Subdivision Scheme (Vol 2020, 6096545, 2020)(Hindawi Ltd, 2021) Hameed, Rabia; Mustafa, Ghulam; Liaqat, Amina; Baleanu, Dumitru; Khan, Faheem; Al-Qurashi, Maysaa M.; Chu, Yu-MingEditorial Citation - WoS: 2Recent Development in Partial Differential Equations and Their Applications(Hindawi Ltd, 2014) Khalique, Chaudry M.; Baleanu, Dumitru; Jafari, HosseinArticle Citation - WoS: 35Citation - Scopus: 74Research Article on Fractional Sirc Model With Salmonella Bacterial Infection(Hindawi Ltd, 2014) Baleanu, Dumitru; Lakshmanan, S.; Rakkiyappan, R.; Rihan, Fathalla A.We propose a fractional order SIRC epidemic model to describe the dynamics of Salmonella bacterial infection in animal herds. The infection-free and endemic steady sates, of such model, are asymptotically stable under some conditions. The basic reproduction number R-0 is calculated, using next-generation matrix method, in terms of contact rate, recovery rate, and other parameters in the model. The numerical simulations of the fractional order SIRC model are performed by Caputo's derivative and using unconditionally stable implicit scheme. The obtained results give insight to the modelers and infectious disease specialists.Article Citation - WoS: 103Citation - Scopus: 114On Coupled Systems of Time-Fractional Differential Problems by Using a New Fractional Derivative(Hindawi Ltd, 2016) Baleanu, Dumitru; Etemad, Sina; Rezapour, Shahram; Alsaedi, AhmedThe existence of solutions for a coupled system of time-fractional differential equations including continuous functions and the Caputo-Fabrizio fractional derivative is examined. After that we investigated a coupled system of time-fractional differential inclusions including compact-and convex-valued L-1-Caratheodory multifunctions and the Caputo-Fabrizio fractional derivative.Article Citation - WoS: 6Citation - Scopus: 19Fractional Grassi-Miller Map Based on the Caputo H-Difference Operator: Linear Methods for Chaos Control and Synchronization(Hindawi Ltd, 2020) Ouannas, Adel; Grassi, Giuseppe; Khennaoui, Amina-Aicha; Pham, Viet-Thanh; Baleanu, Dumitru; Talbi, IbtissemInvestigating dynamic properties of discrete chaotic systems with fractional order has been receiving much attention recently. This paper provides a contribution to the topic by presenting a novel version of the fractional Grassi-Miller map, along with improved schemes for controlling and synchronizing its dynamics. By exploiting the Caputo h-difference operator, at first, the chaotic dynamics of the map are analyzed via bifurcation diagrams and phase plots. Then, a novel theorem is proved in order to stabilize the dynamics of the map at the origin by linear control laws. Additionally, two chaotic fractional Grassi-Miller maps are synchronized via linear controllers by utilizing a novel theorem based on a suitable Lyapunov function. Finally, simulation results are reported to show the effectiveness of the approach developed herein.Article Citation - WoS: 9Citation - Scopus: 14Finite Element Least Square Technique for Newtonian Fluid Flow Through a Semicircular Cylinder of Recirculating Region Via Comsol Multiphysics(Hindawi Ltd, 2020) Memon, Abid A.; Memon, M. Asif; Bhatti, Kaleemullah; Shaikh, Gul M.; Baleanu, Dumitru; Alhussain, Ziyad A.; Khan, IlyasThis article aims to study Newtonian fluid flow modeling and simulation through a rectangular channel embedded in a semicircular cylinder with the range of Reynolds number from 100 to 1500. The fluid is considered as laminar and Newtonian, and the problem is time independent. A numerical procedure of finite element's least Square technique is implemented through COMSOL multiphysics 5.4. The problem is validated through asymptotic solution governed through the screen boundary condition. The vortex length of the recirculating region formed at the back of the cylinder and orientation of velocity field and pressure will be discussed by three horizontal and four vertical lines along the recirculating region in terms of Reynolds number. It was found that the two vortices of unequal size have appeared and the lengths of these vortices are increased with the increase Reynolds number. Also, the empirical equations through the linear regression procedure were determined for those vortices. The orientation of the velocity magnitude as well as pressure along the lines passing through the center of upper and lower vortices are the same.Article Citation - WoS: 6Citation - Scopus: 11Analytical Solution of System of Volterra Integral Equations Using Oham(Hindawi Ltd, 2020) Nawaz, Rashid; Ahsan, Sumbal; Baleanu, Dumitru; Nisar, Kottakkaran Sooppy; Akbar, MuhammadIn this work, a reliable technique is used for the solution of a system of Volterra integral equations (VIEs), called optimal homotopy asymptotic method (OHAM). The proposed technique is successfully applied for the solution of different problems, and comparison is made with the relaxed Monto Carlo method (RMCM) and hat basis function method (HBFM). The comparisons show that the present technique is more suitable and reliable for the solution of a system of VIEs. The presented technique uses auxiliary function containing auxiliary constants, which control the convergence. Moreover, OHAM does not require discretization like other numerical methods and is also free from small or large parameter.Article Citation - WoS: 19Citation - Scopus: 22Analysis of the Physical Behavior of the Periodic Mixed-Convection Flow Around a Nonconducting Horizontal Circular Cylinder Embedded in a Porous Medium(Hindawi Ltd, 2021) Ullah, Zia; Zia, Saqib; Alharbi, Sayer O.; Baleanu, Dumitru; Khan, Ilyas; Ashraf, MuhammadAn oscillatory mixed-convection fluid flow mechanism across a nonconducting horizontal circular cylinder embedded in a porous medium has been computed. For this purpose, a model in the form of partial differential equations is formulated, and then, the governing equations of the dimensionless model are transformed into the primitive form for integration by using primitive variable formulation. The impact of emerging parameters such as porous medium parameter Omega, Richardson number lambda, magnetic force parameter xi, and Prandtl number Pr on skin friction, heat transfer, and current density is interpreted graphically. It is demonstrated that accurate numerical results can be obtained by the present method by treating nonoscillating and oscillating parts of coupled partial differential equations simultaneously. In this study, it is well established that the transient convective heat transfer, skin friction, and current density depend on amplitude and phase angle. One of the objects of the present study is to predict the mechanism of heat and fluid flow around different angles of a nonconducting horizontal circular cylinder embedded in a porous medium.Article Citation - WoS: 9Citation - Scopus: 11An Accurate Predictor-Corrector Nonstandard Finite Difference Scheme for an Seir Epidemic Model(Hindawi Ltd, 2020) Ahmad, Riaz; Farooqi, Rashada; Alharbi, Sayer O.; Baleanu, Dumitru; Rafiq, Muhammad; Ahmad, M. O.; Farooqi, AsmaThe present work deals with the construction, development, and analysis of a viable normalized predictor-corrector-type nonstandard finite difference scheme for the SEIR model concerning the transmission dynamics of measles. The proposed numerical scheme double refines the solution and gives realistic results even for large step sizes, thus making it economical when integrating over long time periods. Moreover, it is dynamically consistent with a continuous system and unconditionally convergent and preserves the positive behavior of the state variables involved in the system. Simulations are performed to guarantee the results, and its effectiveness is compared with well-known numerical methods such as Runge-Kutta (RK) and Euler method of a predictor-corrector type.Article Citation - WoS: 3Citation - Scopus: 4A New Approach To Increase the Flexibility of Curves and Regular Surfaces Produced by 4-Point Ternary Subdivision Scheme(Hindawi Ltd, 2020) Mustafa, Ghulam; Liaqat, Amina; Baleanu, Dumitru; Khan, Faheem; Al-Qurashi, Maysaa M.; Chu, Yu-Ming; Hameed, RabiaIn this article, we present a new subdivision scheme by using an interpolatory subdivision scheme and an approximating subdivision scheme. The construction of the subdivision scheme is based on translation of points of the 4-point interpolatory subdivision scheme to the new position according to three displacement vectors containing two shape parameters. We first study the characteristics of the new subdivision scheme analytically and then present numerical experiments to justify these analytical characteristics geometrically. We also extend the new derived scheme into its bivariate/tensor product version. This bivariate scheme is applicable on quadrilateral meshes to produce smooth limiting surfaces up toC3continuity.