Browsing by Author "Nieto, Juan J."

Now showing 1 - 4 of 4

Citation Count: Agarwal, Ravi P...et al. (2018). "A survey on fuzzy fractional differential and optimal control nonlocal evolution equations", Journal of Computational and Applied Mathematics, Vol. 339, pp.. 3-29.
A survey on fuzzy fractional differential and optimal control nonlocal evolution equations
(Elsevier, 2018) Agarwal, Ravi P.; Baleanu, Dumitru; Nieto, Juan J.; Torres, Delfim F. M.; Zhou, Yong; 56389
We survey some representative results on fuzzy fractional differential equations, controllability, approximate controllability, optimal control, and optimal feedback control for several different kinds of fractional evolution equations. Optimality and relaxation of multiple control problems, described by nonlinear fractional differential equations with nonlocal control conditions in Banach spaces, are considered. (C) 2017 Elsevier B.V. All rights reserved.
Citation Count: Baleanu, D...et al. (2014). "Advanced Topics in Dynamics of Complex Systems", Mathematical Problems in Engineering, Vol. 2014.
Advanced Topics in Dynamics of Complex Systems
(Hindawi Publishing Corporation, 2014) Baleanu, Dumitru; Ahmad, Bashir; Nieto, Juan J.; Tenreiro Machado, J. A.; 56389
Citation Count: Srivastava, H.M...et al. (2015). "Advances On Integrodifferential Equations and Transforms", Abstract and Applied Analysis, Vol. 2015.
Advances On Integrodifferential Equations and Transforms
(Hindawi Publishing Corporation, 2015) Srivastava, H. M.; Yang, Xiao-Jun; Baleanu, Dumitru; Nieto, Juan J.; Hristov, Jordan,; 56389
Citation Count: Baleanu, Dumitru;...et.al. (2022). "On a new and generalized fractional model for a real cholera outbreak", Alexandria Engineering Journal, Vol.61, No.11, pp.9175-9186.
On a new and generalized fractional model for a real cholera outbreak
(2022) Baleanu, Dumitru; Ghassabzade, Fahimeh Akhavan; Nieto, Juan J.; Jajarmi, Amin; 56389
In this paper, a new mathematical model involving the general form of Caputo fractional derivative is studied for a real case of cholera outbreak. Fundamental properties of the new model including the equilibrium points as well as the basic reproduction number are explored. Also, an efficient approximation scheme on the basis of product-integration rule is established to solve the new model. Several kernel functions for the general fractional derivative are tested, and the results are compared with the real data of a cholera outbreak in Yemen. As a consequence, we find a special case in which the aforesaid outbreak is described better, for the corresponding numerical simulations are closer to the real data than the other classical and fractional frameworks. Next, we apply the most realistic model to investigate the effect of vaccination on the considered cholera outbreak. Simulation results show that earlier vaccination could reduce the number of infected individuals effectively, so mortality would have been reduced considerably if the vaccination had been performed earlier.