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040			_aEG-GiCUC _beng _cEG-GiCUC
041	0		_aeng
049			_aDeposite
097			_aPh.D
099			_aCai01.12.17.Ph.D.2021.Se.N
100	0		_aSeham Mahyoub Dabwan Khaled Almekhlafi
245	1	0	_aNumerical treatments for systems of differential equations and their optimal control / _cSeham Mahyoub Dabwan Khaled Almekhlafi ; Supervised Laila F. Abdelal , Nasser H. Sweilam
246	1	5	_aمعالجات عددية لأنظمة المعادلات التفاضلية و التحكم الامثل لها
260			_aCairo : _bSeham Mahyoub Dabwan Khaled Almekhlafi , _c2021
300			_a334 P. : _bcharts ; _c25cm
502			_aThesis (Ph.D.) - Cairo University - Faculty of Science - Department of Mathematics
520			_aThis thesis is a contribution to numerical treatments for novel biological models of differential equations and their optimal control.These models are the fractional nonlinear Tuberculosis with multi-strain model, the hybrid fractional-order Coronavirus (2019-nCov) model, the fractional Tuberculosis infection model including the impact of Diabetes and resistant strains, the fractional Cancer treatment based on a synergy between anti-angiogenic and immune cell therapies model, the fractional-order model of Malaria, the fractional Tumor model under immune suppression. Some of these models are introduced here as fractional order with time delay models, these models are the fractional delay model of Tuberculosis with multi-strain and the fractional Cancer treatment based on the synergy between anti-angiogenic and immune cell therapies model. Also, the hybrid fractional-order stochastic Coronavirus (2019-nCov) model is studied. The concepts of the fractional derivatives in this thesis are Caputo, Grünwald- Letnikov, Riemann-Liouville fractional derivatives. Moreover, we used some new definitions for fractional derivatives such as Atangana-Baleanu-Caputo and hybrid fractional derivatives. General formulations for the fractional optimal control problems are introduced. A kind of Pontryagin{u2019}s maximum principle in fractional order case is used and the necessary optimality conditions are extended to the hybrid fractionalorder derivative. Moreover, we introduced in this thesis numerical treatments for two chaotic systems.These systems are the hybrid fractional-order finance system and the hybrid fractional Bloch system with time delay. Finally, we introduced numerical treatments for some novel partial differential equation models such as the variable-order fractional Klein Gordon equation, the two-dimensional linear and nonlinear fractional Cable equation, and the complex order fractional Burgers{u2019} equations
530			_aIssued also as CD
653		4	_aCoronavirus (2019-nCov)
653		4	_aOptimal control
653		4	_aSystems of differential equations
700	0		_aLaila Fahmy Abdelal , _eSupervisor
700	0		_aNasser Hasan Sweilam , _eSupervisor
856			_uhttp://172.23.153.220/th.pdf
905			_aNazla _eRevisor
905			_aShimaa _eCataloger
942			_2ddc _cTH
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