Umfang:
Online-Ressource (XI, 251 p. 49 illus, online resource)
ISBN:
9783319663845
Serie:
SpringerLink
Inhalt:
Preface -- Introduction -- 1. Non-instantaneous Impulses in Differential Equations -- 2. Non-instantaneous Impulses in Differential Equations with Caputo fractional derivatives -- 3. Non-instantaneous Impulses on Random time in Differential Equations with Ordinary/Fractional Derivatives -- Bibliography
Inhalt:
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 equa tions 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
Anmerkung:
Includes bibliographical references
Weitere Ausg.:
ISBN 9783319663838
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe ISBN 978-3-319-66383-8
Sprache:
Englisch
DOI:
10.1007/978-3-319-66384-5
URL:
Volltext
(lizenzpflichtig)
Mehr zum Autor:
Agarwal, Ravi 1958-
