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Published by Springer Nature Switzerland, 2024
ISBN 10: 3031382021 ISBN 13: 9783031382024
Language: English
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Add to basketTaschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book explores boundary value problems for fractional dynamic equations on arbitrary time scales, including Caputo fractional dynamic equations, impulsive Caputo fractional dynamic equations, and impulsive Riemann-Liouville fractional dynamic equations. The author provides an introduction to each fractional dynamic equation before delving into the problems. The book also covers initial value problems, boundary value problems, initial boundary value problems for each type of equation. The author provides integral representations of the solutions and proves the existence and uniqueness of the solutions.
Published by Springer Nature Switzerland, 2024
ISBN 10: 303138198X ISBN 13: 9783031381980
Language: English
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Add to basketTaschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book explores boundary value problems for Riemann-Liouville fractional dynamic equations on arbitrary time scales as well as the shifting problem on the whole time scale. The author includes an introductory overview of fractional dynamic calculus on time scales. The book also introduces the Laplace transform on arbitrary time scales, including the bilateral Laplace transform, the Laplace transform of power series, and a deduction of an inverse formula. The author then discusses the generalized convolutions of functions on arbitrary time scales and the shifting problem for existence of solutions. The book moves on to cover boundary value problems and initial boundary value problems for some classes Riemann-Liouville fractional dynamic equations.
Published by Springer Nature Switzerland, 2023
ISBN 10: 3031381955 ISBN 13: 9783031381959
Language: English
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Add to basketBuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book explores boundary value problems for Riemann-Liouville fractional dynamic equations on arbitrary time scales as well as the shifting problem on the whole time scale. The author includes an introductory overview of fractional dynamic calculus on time scales. The book also introduces the Laplace transform on arbitrary time scales, including the bilateral Laplace transform, the Laplace transform of power series, and a deduction of an inverse formula. The author then discusses the generalized convolutions of functions on arbitrary time scales and the shifting problem for existence of solutions. The book moves on to cover boundary value problems and initial boundary value problems for some classes Riemann-Liouville fractional dynamic equations.
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Add to basketBuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This new edition presents an updated and expanded exploration of boundary value problems for fractional dynamic equations on arbitrary time scales, including Caputo fractional dynamic equations, impulsive Caputo fractional dynamic equations, and impulsive Riemann-Liouville fractional dynamic equations. In a new chapter, the author introduces time scale calculus and fractional time scale calculus. The book also covers initial value problems, boundary value problems, initial boundary value problems for each type of equation. The author provides integral representations of the solutions and proves the existence and uniqueness of the solutions. This second edition includes new and updated examples and problems.
Published by Chapman and Hall/CRC, 2024
ISBN 10: 1032059591 ISBN 13: 9781032059594
Language: English
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ISBN 10: 103200293X ISBN 13: 9781032002934
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Published by Taylor & Francis Ltd, London, 2024
ISBN 10: 103200293X ISBN 13: 9781032002934
Language: English
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Paperback. Condition: new. Paperback. Boundary Value Problems on Time Scales, Volume I is devoted to the qualitative theory of boundary value problems on time scales. Summarizing the most recent contributions in this area, it addresses a wide audience of specialists such as mathematicians, physicists, engineers and biologists. It can be used as a textbook at the graduate level and as a reference book for several disciplines. The text contains two volumes, both published by Chapman & Hall/CRC Press.Volume I presents boundary value problems for first- and second-order dynamic equations on time scales. Volume II investigates boundary value problems for three, four, and higher-order dynamic equations on time scales. Many results to differential equations carry over easily to corresponding results for difference equations, while other results seem to be totally different in nature. Because of these reasons, the theory of dynamic equations is an active area of research. The time-scale calculus can be applied to any field in which dynamic processes are described by discrete or continuous time models.The calculus of time scales has various applications involving noncontinuous domains such as certain bug populations, phytoremediation of metals, wound healing, maximization problems in economics, and traffic problems. Boundary value problems on time scales have been extensively investigated in simulating processes and the phenomena subject to short-time perturbations during their evolution. The material in this book is presented in highly readable, mathematically solid format. Many practical problems are illustrated displaying a wide variety of solution techniques.AUTHORSSvetlin G. Georgiev is a mathematician who has worked in various areas of the study. He currently focuses on harmonic analysis, functional analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations, and dynamic calculus on time scales.Khaled Zennir earned his PhD in mathematics in 2013 from Sidi Bel Abbes University, Algeria. In 2015, he received his highest diploma in Habilitation in mathematics from Constantine University, Algeria. He is currently assistant professor at Qassim University in the Kingdom of Saudi Arabia. His research interests lie in the subjects of nonlinear hyperbolic partial differential equations: global existence, blowup, and long-time behavior. This book is devoted to the qualitative theory of boundary value problems on time scales. It summarizes the most recent contributions in this area. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
Published by Taylor & Francis Ltd, London, 2024
ISBN 10: 1032059591 ISBN 13: 9781032059594
Language: English
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Paperback. Condition: new. Paperback. Boundary Value Problems on Time Scales, Volume II is devoted to the qualitative theory of boundary value problems on time scales. Summarizing themost recent contributions in this area, it addresses a wide audience of specialists such as mathematicians, physicists, engineers and biologists. It can be used asa textbook at the graduate level and as a reference book for several disciplines. The text contains two volumes, both published by Chapman & Hall/CRC Press.Volume I presents boundary value problems for first- and second-order dynamic equations on time scales. Volume II investigates boundary value problems forthree, four, and higher-order dynamic equations on time scales. Many results to differential equations carry over easily to corresponding resultsfor difference equations, while other results seem to be totally different in nature. Because of these reasons, the theory of dynamic equations is an active area ofresearch. The time-scale calculus can be applied to any field in which dynamic processes are described by discrete or continuous time models.The calculus of time scales has various applications involving noncontinuous domains such as certain bug populations, phytoremediation of metals, woundhealing, maximization problems in economics, and traffic problems. Boundary value problems on time scales have been extensively investigated in simulatingprocesses and the phenomena subject to short-time perturbations during their evolution. The material in this book is presented in highly readable, mathematically solid format. Many practical problems are illustrated displaying a wide variety ofsolution techniques.AUTHORSSvetlin G. Georgiev is a mathematician who has worked in various areas of the study. He currently focuses on harmonic analysis, functional analysis, partialdifferential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations, and dynamic calculus on time scales.Khaled Zennir earned his PhD in mathematics in 2013 from Sidi Bel Abbes University, Algeria. In 2015, he received his highest diploma in Habilitation inmathematics from Constantine University, Algeria. He is currently assistant professor at Qassim University in the Kingdom of Saudi Arabia. His researchinterests lie in the subjects of nonlinear hyperbolic partial differential equations: global existence, blowup, and long-time behavior. This book is devoted to the qualitative theory of boundary value problems on time scales. It summarizes the most recent contributions in this area. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
Published by Chapman and Hall/CRC, 2024
ISBN 10: 1032059591 ISBN 13: 9781032059594
Language: English
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