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Numerical Methods to Solve Fractional Order Optimal Control Problems: Numerical Simulation of Fractional HIV Models Using Some Numerical Methods - Brossura
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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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Numerical Methods to Solve Fractional Order Optimal Control Problems
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LAP LAMBERT Academic Publishing Jan 2017, 2017
ISBN 10: 3330040262
ISBN 13: 9783330040267
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Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
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Taschenbuch. Condizione: 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. Codice articolo 9783330040267
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Numerical Methods to Solve Fractional Order Optimal Control Problems
Editore:
LAP LAMBERT Academic Publishing, 2017
ISBN 10: 3330040262
ISBN 13: 9783330040267
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Da: moluna, Greven, Germania
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Condizione: 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. Codice articolo 158958516
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Numerical Methods to Solve Fractional Order Optimal Control Problems: Numerical Simulation of Fractional HIV Models Using Some Numerical Methods
Editore:
LAP LAMBERT Academic Publishing, 2017
ISBN 10: 3330040262
ISBN 13: 9783330040267
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Da: Revaluation Books, Exeter, Regno Unito
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Paperback. Condizione: Brand New. 124 pages. 8.66x5.91x0.28 inches. In Stock. Codice articolo 3330040262
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Numerical Methods to Solve Fractional Order Optimal Control Problems
Editore:
LAP LAMBERT Academic Publishing Jan 2017, 2017
ISBN 10: 3330040262
ISBN 13: 9783330040267
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Taschenbuch
Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
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Taschenbuch. Condizione: 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. Codice articolo 9783330040267
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Numerical Methods to Solve Fractional Order Optimal Control Problems : Numerical Simulation of Fractional HIV Models Using Some Numerical Methods
Editore:
LAP LAMBERT Academic Publishing, 2017
ISBN 10: 3330040262
ISBN 13: 9783330040267
Nuovo
Taschenbuch
Da: AHA-BUCH GmbH, Einbeck, Germania
Valutazione del venditore 5 su 5 stelle
Taschenbuch. Condizione: 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). Codice articolo 9783330040267
Quantità: 1 disponibili