Numerical Approximation of Riccati Fractional Differential Equation in the Sense of Caputo-Type Fractional Derivative

Numerical Approximation of Riccati Fractional Differential Equation in the Sense of Caputo-Type Fractional Derivative

The Riccati differential equation is a well-known nonlinear differential equation and has different applications in engineering and science domains, such as robust stabilization, stochastic realization theory, network synthesis, and optimal control, and in financial mathematics. In this study, we ai...

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Veröffentlicht in:Journal of mathematics (Hidawi) 2020, Vol.2020 (2020), p.1-12
Hauptverfasser: Liu, Xin, Yao, Yukun, Kamran, Xin
Format: Artikel
Sprache:eng
Schlagworte:
Hilbert space
Integrals
Laplace transforms
Mathematics
Methods
Network synthesis
Nonlinear differential equations
Numerical analysis
Optimal control
Quadratures
Riccati equation
Robust stabilization
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Zusammenfassung:The Riccati differential equation is a well-known nonlinear differential equation and has different applications in engineering and science domains, such as robust stabilization, stochastic realization theory, network synthesis, and optimal control, and in financial mathematics. In this study, we aim to approximate the solution of a fractional Riccati equation of order 0
ISSN:2314-4629
2314-4785
DOI:10.1155/2020/1274251