Analytical and Numerical Solutions of Linear Fractional-Order Differential Equations

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

Chapter 6 in Fractional Calculus, 2024, pp 199-264 from Springer

Abstract: Abstract In the past, the familiar dynamical systems are described by integer-order differential equations. Accordingly, the fractional-order dynamical systems are described by fractional-order differential equationsFractional-order differential equation (FODEs). In this chapter, linear FODEs are discussed. Analytical and numerical solutions of linear FODEs are presented. Also, some attempts on solution and stability of irrational FODEs are discussed.

Date: 2024
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DOI: 10.1007/978-981-99-2070-9_6

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