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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Mittag-Leffler Euler Difference Techniques
• Author: Tianwei Zhang, Yongkun Li, Jianwen Zhou
• Language: English
• Binding: Hardback
• Number of pages: 250
• EAN: 9789819662272
• ID: 48313426
• Publisher: Springer, Berlin
• Weight: 464 g
• Dimensions: 235 × 155 mm
• Published: 2025

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