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Numerical Solutions of Special Fractional-Order Differential Equations

In: Fractional Calculus

Author

Listed:
  • Dingyü Xue

    (Northeastern University)

  • Lu Bai

    (Shenyang University, School of Information Engineering)

Abstract

Command-driven methods for nonlinear Caputo equations are introduced in Chapter 7, and the methods are mainly used in solving explicit equations and FOSS equations. In Chapter 8, block diagram-based methods are introduced for these FODEs, with wider application fields. In this chapter, various complicated FODEs such as implicit FODEs, delay FODEs and boundary value problems of FODEs are explored in Simulink. A brief introduction is made to time-fractional FODE is introduced.

Suggested Citation

  • Dingyü Xue & Lu Bai, 2024. "Numerical Solutions of Special Fractional-Order Differential Equations," Springer Books, in: Fractional Calculus, chapter 9, pages 343-379, Springer.
    • Handle: RePEc:spr:sprchp:978-981-99-2070-9_9
    DOI: 10.1007/978-981-99-2070-9_9
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