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Numerical Solutions of Special Fractional-Order Differential Equations

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Fractional Calculus

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.

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Correspondence to Dingyü Xue .

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© 2024 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Xue, D., Bai, L. (2024). Numerical Solutions of Special Fractional-Order Differential Equations. In: Fractional Calculus. Springer, Singapore. https://doi.org/10.1007/978-981-99-2070-9_9

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