Mittag-Leffler Euler Difference Techniques

This book presents a comprehensive investigation into the exponential and Mittag-Leffler Euler differences for semi-linear fractional-order differential equations, a subject falling within the purview of computational mathematics. The field of exponential and Mittag-Leffler Euler differences has wit...

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Bibliografische gegevens
Hoofdauteurs: Zhang, Tianwei (Auteur), Li, Yongkun (Auteur), Zhou, Jianwen (Auteur)
Coauteur: SpringerLink (Online service)
Formaat: Elektronisch E-boek
Taal:Engels
Gepubliceerd in: Singapore : Springer Nature Singapore : Imprint: Springer, 2025.
Editie:1st ed. 2025.
Onderwerpen:
Online toegang:https://doi.org/10.1007/978-981-96-6228-9
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Samenvatting:This book presents a comprehensive investigation into the exponential and Mittag-Leffler Euler differences for semi-linear fractional-order differential equations, a subject falling within the purview of computational mathematics. The field of exponential and Mittag-Leffler Euler differences has witnessed a period of rapid development in recent times. This has led to the emergence of new techniques such as exponential Euler integrator, exponential Runge-Kutta methods, multistep exponential integrator, exponential Rosenbrock-type methods, and more. This book puts forth several difference approaches to fractional-order differential equations and offers insights into their practical applications in the study of neural networks. Adopting a holistic approach, the book presents a foundational framework for this topic, underscoring the significance of exponential and Mittag-Leffler Euler differences in the numerical theory of fractional-order differential equations. The book is designed for graduate students with an interest in numerical solutions of fractional-order differential equations, as well as for researchers engaged in the qualitative theory of difference equations.
Fysieke beschrijving:1 online resource (XIV, 192 p. 60 illus.). 56 illus. in color.
ISBN:9789819662289
DOI:10.1007/978-981-96-6228-9