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Numerical solution and dynamical behaviors for solving fractional nonlinear Rubella ailment disease model
Faculty
Science
Year:
2021
Type of Publication:
ZU Hosted
Pages:
Authors:
Khaled Lotfy Mohamed Azab
Staff Zu Site
Abstract In Staff Site
Journal:
Results in Physics Elsevier
Volume:
Keywords :
Numerical solution , dynamical behaviors , solving fractional nonlinear
Abstract:
In this manuscript, we work on the essential collocation technique via utilizing the shifted second Chebyshev polynomials type (SSCPT). The numeral technique for unraveling the nonlinear fractional Rubella ailment. The characteristic of the SSCPT is introduced. The dynamic system for this model is discussed. We proved the existence of a stable solution of the fractional model after and before control. The optimal control of this model and numerical technique for the simulation of the control problem is also discussed. The finite difference strategy has been utilized to fathom the arrangement of conditions. The numerical model is given to affirm the unwavering quality and adequacy of the suggested technique. The fad and importance of the results are clearing about the 3D plot. We are discussing free disease equilibrium, stability equilibrium point, and the existence of stable solution. It appears that the solutions acquired are novel and ability is helpful in analyzing the internal technique of other nonlinear biological models. Next applying the numerical technique, we are able to say that the outcomes we acquired are perfect, whether from an analytical or numerical point of view. Additionally, the numerical outcomes are completely consistent with the analytical outcomes. The numerical technique used in this manuscript to solve this model has not been utilized by any author before that. Also, this model with fractional derivatives defined in this way has not been studied before that. The techniques utilized are easy to effect, whether analytical or numerical and give good outcome
Author Related Publications
Khaled Lotfy Mohamed Azab, "Analytical solution of fractional order heat equation under the effects of variable thermal conductivity during photothermal excitation of spherical cavity of semiconductor medium", © 2019 Informa UK Limited, trading as Taylor & Francis Group, 2019
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Khaled Lotfy Mohamed Azab, "Thermal Ramp Type of Photo-Thermal Excitation in Hall Current and Variable Thermal Conductivity of Semiconductor Elastic Material", # Springer Nature B.V. 2020, 2020
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Khaled Lotfy Mohamed Azab, "Normal Mode Method for Two-Temperature Generalized Thermoelasticity under Thermal Shock Problem", Taylor & Francis, 2014
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Khaled Lotfy Mohamed Azab, "The effect of a magnetic field on a 2D problem of fibre-reinforced thermoelasticity rotation under three theories,", Chinese, 2014
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Khaled Lotfy Mohamed Azab, "Mode-I crack in a two-dimensional fibre-reinforced generalized thermoelastic problem,", Chinese, 2014
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Department Related Publications
Amr Mohamed Samy Mohammed Mahdi , "Numerical Study for the Fractional Differential Equations Generated by Optimization Problem Using Chebyshev Collocation Method and FDM", Natural Sciences Publishing, USA LLC (NSP), 2013
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Rodyna Ahmed Mahmoud, "Types of Generalized Open Sets with Ideal", FCS® (Foundation of Computer Science, 2013
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Rodyna Ahmed Mahmoud, "Some types of compactness via ideal", Research Publication IJSER, 2013
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Nagla Ameen Mohamed Hssan, "Analysis of multi-level queueing systems with servers breakdown by using recursive solution technique", Published by Elsevier Inc, 2012
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Usama Abdelhamid Ibrahim, "Convergence of Intuionistic Fuzzy Filters in Syntopogenous Intuionisticfuzzy Strctures", Marsland press, 2013
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