Numerical Solutions of Nonlinear FODEs

Dingyü Xue () and Lu Bai ()
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Dingyü Xue: Northeastern University
Lu Bai: Shenyang University, School of Information Engineering

Chapter 7 in Fractional Calculus, 2024, pp 265-297 from Springer

Abstract: Abstract Analytical solution methods for linear FODEs were given in Chap. 6. High-precision numerical algorithms for Riemann–Liouville and Caputo differential equations were given. In control system research and other fields of applications, nonlinear behaviors are unavoidable. In this chapter, some numerical solution methods on nonlinear FODEs are studied, and the high-precision algorithm is presented and recommended.

Date: 2024
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DOI: 10.1007/978-981-99-2070-9_7

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