Haar wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations
By Yuanlu Li, Weiwei Zhao. Applied Mathematics and Computation, 2010
306 citations recorded by the source corpus.
Subfields: Control and Systems Engineering, Modeling and Simulation, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/be6384521d3490bdcf904cee408b71acf8c7d6b9
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In Control and Systems Engineering
- Yadollah Ordokhani
- Somayeh Mashayekhi
- Mohsen Razzaghi
- Elham Keshavarz
- Sedigheh Sabermahani
- Parisa Rahimkhani
- Esmail Babolian
- Abdulnasir Isah
In Modeling and Simulation
- Yadollah Ordokhani
- Somayeh Mashayekhi
- Mohsen Razzaghi
- Elham Keshavarz
- Gokul Hariharan
- K. Kannan
- Sedigheh Sabermahani
- Parisa Rahimkhani
In Statistical and Nonlinear Physics
Citations in the corpus
- Control of a novel class of fractional-order chaotic systems via adaptive sliding mode control approach ☆ (2013, unknown): “Especially, the study on the dynamics of fractional-order differential systems has attracted increasing affection from many researchers [8–13].”
- An approximate method for solving fractional optimal control problems by hybrid functions (2018, methodology): “For solving fractional-order differential equations using Haar, Chebyshev, and Legendre wavelets, the operational matrices for fractional order (OMFOs) of these wavelets were calculated by Li and Zhao (2010), Zhu and Fan (2012), and Heydari et al. (2014), respectively.”
- An Overview of Haar Wavelet Method for Solving Differential and Integral Equations (2013, background): “Yuanlu Li and Weiwei Zhao [64] dealt the Haar wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations Bujurke et al. [65, 66] applied the single-term Haar wavelet series (STHWS) in the solution of nonlinear oscillator equ”
- A numerical solution for fractional optimal control problems via Bernoulli polynomials (2016, methodology): “In addition, the operational matrices of Riemann– Liouville fractional integration for Legendre polynomials and Haar wavelets are given by Lotfi et al. (2011) and Li and Zhao (2010), respectively.”