Non Instantaneous Impulses In Differential Equations
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Non Instantaneous Impulses In Differential Equations
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Author : Ravi Agarwal
language : en
Publisher: Springer
Release Date : 2017-10-27
Non Instantaneous Impulses In Differential Equations written by Ravi Agarwal and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-27 with Mathematics categories.
This monograph is the first published book devoted to the theory of differential equations with non-instantaneous impulses. It aims to equip the reader with mathematical models and theory behind real life processes in physics, biology, population dynamics, ecology and pharmacokinetics. The authors examine a wide scope of differential equations with non-instantaneous impulses through three comprehensive chapters, providing an all-rounded and unique presentation on the topic, including: - Ordinary differential equations with non-instantaneous impulses (scalar and n-dimensional case)- Fractional differential equations with non-instantaneous impulses (with Caputo fractional derivatives of order q ε (0, 1))- Ordinary differential equations with non-instantaneous impulses occurring at random moments (with exponential, Erlang, or Gamma distribution) Each chapter focuses on theory, proofs and examples, and contains numerous graphs to enrich the reader’s understanding. Additionally, a carefully selected bibliography is included. Graduate students at various levels as well as researchers in differential equations and related fields will find this a valuable resource of both introductory and advanced material.
Non Instantaneous Impulsive Differenti
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Author : Michal Feckan
language : en
Publisher: Iph001
Release Date : 2018-11-09
Non Instantaneous Impulsive Differenti written by Michal Feckan and has been published by Iph001 this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-09 with Science categories.
Non-instantaneous impulsive differential equations are widely used in physics, biology, dynamics and ecology and have a wide-ranging scope within the scientific industry. This book will help pave the way for a better fundamental understanding of the mathematical models and how they can be implemented.
Non Instantaneous Impulsive Differential Equations
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Author : JinRong Wang (Mathematics professor)
language : en
Publisher:
Release Date : 2018
Non Instantaneous Impulsive Differential Equations written by JinRong Wang (Mathematics professor) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Impulsive differential equations categories.
"Many real-life processes can be characterised by rapid changes in their state. Some of these changes begin impulsively and are not negligible. For changes such as these, mathematical models called non-instantaneous differential equations are created. These models give rise to a new, hybrid dynamical system that can be used for many different purposes. Using a variety of equations, examples and solutions, this book will be an essential guide for researchers, graduate students and those interested in applied mathematics and related fields." -- Prové de l'editor.
Non Instantaneous Impulsive Differential Equations Basic Theory And Computation
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Author : Jinrong Wang
language : en
Publisher: Institute of Physics Publishing
Release Date : 2018-11-09
Non Instantaneous Impulsive Differential Equations Basic Theory And Computation written by Jinrong Wang and has been published by Institute of Physics Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-09 with Science categories.
Non-instantaneous impulsive differential equations are widely used in physics, biology, dynamics and ecology and have a wide-ranging scope within the scientific industry. This book will help pave the way for a better fundamental understanding of the mathematical models and how they can be implemented.
Fractional Differential Equations
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Author : Anatoly Kochubei
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-02-19
Fractional Differential Equations written by Anatoly Kochubei and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-19 with Mathematics categories.
This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This second volume collects authoritative chapters covering the mathematical theory of fractional calculus, including ordinary and partial differential equations of fractional order, inverse problems, and evolution equations.
Theory Of Impulsive Differential Equations
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Author : V. Lakshmikantham
language : en
Publisher: World Scientific
Release Date : 1989
Theory Of Impulsive Differential Equations written by V. Lakshmikantham and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.
Many evolution processes are characterized by the fact that at certain moments of time they experience a change of state abruptly. These processes are subject to short-term perturbations whose duration is negligible in comparison with the duration of the process. Consequently, it is natural to assume that these perturbations act instantaneously, that is, in the form of impulses. It is known, for example, that many biological phenomena involving thresholds, bursting rhythm models in medicine and biology, optimal control models in economics, pharmacokinetics and frequency modulated systems, do exhibit impulsive effects. Thus impulsive differential equations, that is, differential equations involving impulse effects, appear as a natural description of observed evolution phenomena of several real world problems.
Advanced Topics In Fractional Differential Equations
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Author : Mouffak Benchohra
language : en
Publisher: Springer Nature
Release Date : 2023-05-11
Advanced Topics In Fractional Differential Equations written by Mouffak Benchohra and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-11 with Mathematics categories.
This book explores fractional differential equations with a fixed point approach. The authors highlight the existence, uniqueness, and stability results for various classes of fractional differential equations. All of the problems in the book also deal with some form of of the well-known Hilfer fractional derivative, which unifies the Riemann-Liouville and Caputo fractional derivatives. Classical and new fixed point theorems, associated with the measure of noncompactness in Banach spaces as well as several generalizations of the Gronwall's lemma, are employed as tools. The book is based on many years of research in this area, and provides suggestions for further study as well. The authors have included illustrations in order to support the readers’ understanding of the concepts presented. Includes illustrations in order to support readers understanding of the presented concepts · Approaches the topic of fractional differential equations while employing fixed point theorems as tools · Presents novel results, which build upon previous literature and many years of research by the authors
Differential Systems Involving Impulses
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Author : S.G. Pandit
language : en
Publisher: Springer
Release Date : 2006-11-15
Differential Systems Involving Impulses written by S.G. Pandit and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Fractional Differential Equations
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Author : Mouffak Benchohra
language : en
Publisher: Springer Nature
Release Date : 2023-07-10
Fractional Differential Equations written by Mouffak Benchohra and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-10 with Mathematics categories.
This book covers problems involving a variety of fractional differential equations, as well as some involving the generalized Hilfer fractional derivative, which unifies the Riemann-Liouville and Caputo fractional derivatives. The authors highlight the existence, uniqueness, and stability results for various classes of fractional differential equations based on the most recent research in the area. The book discusses the classic and novel fixed point theorems related to the measure of noncompactness in Banach spaces and explains how to utilize them as tools. The authors build each chapter upon the previous one, helping readers to develop their understanding of the topic. The book includes illustrated results, analysis, and suggestions for further study.
Impulsive Differential Equations And Inclusions
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Author : Mouffak Benchohra
language : en
Publisher: Hindawi Publishing Corporation
Release Date : 2006
Impulsive Differential Equations And Inclusions written by Mouffak Benchohra and has been published by Hindawi Publishing Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Differential equations categories.