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_aEG-GiCUC _beng _cEG-GiCUC |
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| 041 | 0 | _aeng | |
| 049 | _aDeposite | ||
| 097 | _aM.Sc | ||
| 099 | _aCai01.12.17.M.Sc.2016.Yo.N | ||
| 100 | 0 | _aYousef Saleh Mohammed Almaghrebi | |
| 245 | 1 | 0 |
_aNumerical techniques for solving some types of fractional order optimal control problems / _cYousef Saleh Mohammed Almaghrebi ; Supervised Laila F. Abdelal , Nasser H. Sweilam , Abdelhameed M. Nagy |
| 246 | 1 | 5 | _aتقنيات عددية حلل بعض أنواع مسائل التحكم األمثل ذات الرتب الكسرية |
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_aCairo : _bYousef Saleh Mohammed Almaghrebi , _c2016 |
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| 300 |
_a87 P. : _bcharts ; _c25cm |
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| 502 | _aThesis (M.Sc.) - Cairo University - Faculty of Science - Department of Mathematics | ||
| 520 | _aIn this thesis, two existing mathematical models to describe the human immun- ode ciency virus (HIV) disease are studied. The adopted models are described by a system of nonlinear ordinary di erential equations (ODEs). Optimal con- trol for HIV models is presented. The Pontryagin's Maximum Principle (PMP) is used to derive the optimality system (OS) which is solved numerically using the nonstandard nite di erence method (NSFDM), standard nite di erence method (SFDM) and forward-backward sweep method (FBSM). Existences and uniqueness for the solutions of the mathematical models are proved. Also, two general HIV models are presented as fractional-order mathematical models. The fractional derivative is de ned in the sense of Caputo de nition. The shifted Chebyshev spectral method (SCSM) is used to study the OS for the rst model. Two di erent numerical methods are introduced to study the op- timal control problems of both models. These methods are iterative optimal control method (IOCM) and the generalized Euler method (GEM). | ||
| 530 | _aIssued also as CD | ||
| 653 | 4 | _aFractional calculus | |
| 653 | 4 | _aMathematical model of HIV | |
| 653 | 4 | _aOptimal Control theory | |
| 700 | 0 |
_aAbdelhameed Mohamed Nagy , _eSupervisor |
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| 700 | 0 |
_aLaila Fahmy Abdelal , _eSupervisor |
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| 700 | 0 |
_aNasser Hassan Sweilam , _eSupervisor |
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| 856 | _uhttp://172.23.153.220/th.pdf | ||
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_aNazla _eRevisor |
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_aSoheir _eCataloger |
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