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Numerical Methods to Solve Fractional Order Optimal Control Problems: Numerical Simulation of Fractional HIV Models Using Some Numerical Methods - Softcover
Inhaltsangabe
In this book, two existing mathematical models to describe the human immunodeficiency virus (HIV) disease are studied. The adopted models are described by a system of nonlinear ordinary differential equations (ODEs). Optimal control 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 finite difference method (NSFDM), standard finite difference 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 defined in the sense of Caputo definition. The shifted Chebyshev spectral method (SCSM) is used to study the OS for the first model. Two different numerical methods are introduced to study the optimal control problems of both models. These methods are iterative optimal control method (IOCM) and the generalized Euler method (GEM).
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Reseña del editor
In this book, two existing mathematical models to describe the human immunodeficiency virus (HIV) disease are studied. The adopted models are described by a system of nonlinear ordinary differential equations (ODEs). Optimal control 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 finite difference method (NSFDM), standard finite difference 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 defined in the sense of Caputo definition. The shifted Chebyshev spectral method (SCSM) is used to study the OS for the first model. Two different numerical methods are introduced to study the optimal control problems of both models. These methods are iterative optimal control method (IOCM) and the generalized Euler method (GEM).
Biografía del autor
Yousef S. Almaghrebi was born in Sana'a, Yemen. Almaghrebi has M.Sc. degree in pur mathematics (2016), the faculty of science, Cairo university, Egypt. The master thesis is refereed in Arizona state university, USA, by professor ABBA GUMEL. B.Sc. degree in mathematical analysis (2010), the faculty of science, Albaath university, Homs, Syria.
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Numerical Methods to Solve Fractional Order Optimal Control Problems
Verlag:
LAP LAMBERT Academic Publishing Jan 2017, 2017
ISBN 10: 3330040262
ISBN 13: 9783330040267
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Taschenbuch
Anbieter: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Deutschland
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In this book, two existing mathematical models to describe the human immunodeficiency virus (HIV) disease are studied. The adopted models are described by a system of nonlinear ordinary differential equations (ODEs). Optimal control 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 finite difference method (NSFDM), standard finite difference 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 defined in the sense of Caputo definition. The shifted Chebyshev spectral method (SCSM) is used to study the OS for the first model. Two different numerical methods are introduced to study the optimal control problems of both models. These methods are iterative optimal control method (IOCM) and the generalized Euler method (GEM). 124 pp. Englisch. Bestandsnummer des Verkäufers 9783330040267
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Numerical Methods to Solve Fractional Order Optimal Control Problems
Verlag:
LAP LAMBERT Academic Publishing, 2017
ISBN 10: 3330040262
ISBN 13: 9783330040267
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Softcover
Anbieter: moluna, Greven, Deutschland
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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Almaghrebi Yousef S.Yousef S. Almaghrebi was born in Sana a, Yemen. Almaghrebi has M.Sc. degree in pur mathematics (2016), the faculty of science, Cairo university, Egypt. The master thesis is refereed in Arizona state university, US. Bestandsnummer des Verkäufers 158958516
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Numerical Methods to Solve Fractional Order Optimal Control Problems: Numerical Simulation of Fractional HIV Models Using Some Numerical Methods
Verlag:
LAP LAMBERT Academic Publishing, 2017
ISBN 10: 3330040262
ISBN 13: 9783330040267
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Paperback
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Paperback. Zustand: Brand New. 124 pages. 8.66x5.91x0.28 inches. In Stock. Bestandsnummer des Verkäufers 3330040262
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Numerical Methods to Solve Fractional Order Optimal Control Problems
Verlag:
LAP LAMBERT Academic Publishing Jan 2017, 2017
ISBN 10: 3330040262
ISBN 13: 9783330040267
Neu
Taschenbuch
Anbieter: buchversandmimpf2000, Emtmannsberg, BAYE, Deutschland
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Taschenbuch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -In this book, two existing mathematical models to describe the human immunodeficiency virus (HIV) disease are studied. The adopted models are described by a system of nonlinear ordinary differential equations (ODEs). Optimal control 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 finite difference method (NSFDM), standard finite difference 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 defined in the sense of Caputo definition. The shifted Chebyshev spectral method (SCSM) is used to study the OS for the first model. Two different numerical methods are introduced to study the optimal control problems of both models. These methods are iterative optimal control method (IOCM) and the generalized Euler method (GEM).Books on Demand GmbH, Überseering 33, 22297 Hamburg 124 pp. Englisch. Bestandsnummer des Verkäufers 9783330040267
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Numerical Methods to Solve Fractional Order Optimal Control Problems : Numerical Simulation of Fractional HIV Models Using Some Numerical Methods
Verlag:
LAP LAMBERT Academic Publishing, 2017
ISBN 10: 3330040262
ISBN 13: 9783330040267
Neu
Taschenbuch
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Taschenbuch. Zustand: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - In this book, two existing mathematical models to describe the human immunodeficiency virus (HIV) disease are studied. The adopted models are described by a system of nonlinear ordinary differential equations (ODEs). Optimal control 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 finite difference method (NSFDM), standard finite difference 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 defined in the sense of Caputo definition. The shifted Chebyshev spectral method (SCSM) is used to study the OS for the first model. Two different numerical methods are introduced to study the optimal control problems of both models. These methods are iterative optimal control method (IOCM) and the generalized Euler method (GEM). Bestandsnummer des Verkäufers 9783330040267
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