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This chapter introduces the research background of various numerical methods used to solve differential equations, including Euler difference, Runge–Kutta difference, exponential Euler difference, etc. Furthermore, this chapter introduces the concepts and properties of Riemann–Liouville and Caputo fractional calculus, Caputo–Fabrizio operator, etc.

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Introduction

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  • 发表日期：

    2025年

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  • Tianwei Zhang,
  • Yongkun Li,
  • Jianwen Zhou

摘要

This chapter introduces the research background of various numerical methods used to solve differential equations, including Euler difference, Runge–Kutta difference, exponential Euler difference, etc. Furthermore, this chapter introduces the concepts and properties of Riemann–Liouville and Caputo fractional calculus, Caputo–Fabrizio operator, etc.