Author
Yuanlu Li
Bio: Yuanlu Li is an academic researcher from Nanjing University of Information Science and Technology. The author has contributed to research in topics: Fractional calculus & Fractional programming. The author has an hindex of 1, co-authored 1 publications receiving 137 citations.
Papers
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TL;DR: A way to solve the fractional differential equations using the Riemann-Liouville fractional integral for repeated fractional integration and the generalized block pulse operational matrices of differentiation are proposed.
Abstract: The Riemann-Liouville fractional integral for repeated fractional integration is expanded in block pulse functions to yield the block pulse operational matrices for the fractional order integration. Also, the generalized block pulse operational matrices of differentiation are derived. Based on the above results we propose a way to solve the fractional differential equations. The method is computationally attractive and applications are demonstrated through illustrative examples.
152 citations
Cited by
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133 citations
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TL;DR: The main characteristic behind this approach in this paper is that it derive two kinds of operational matrixes of Bernstein polynomials, which can be viewed as the system of linear equations after dispersing the variable.
126 citations
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TL;DR: The second kind Chebyshev wavelet method is presented for solving linear and nonlinear fractional differential equations and the operational matrix of fractional order integration is utilized to reduce the fractions of differential equations to system of algebraic equations.
119 citations
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TL;DR: An efficient and accurate computational method based on the Legendre wavelets (LWs) is proposed for solving a class of fractional optimal control problems (FOCPs) and reveals that the proposed method is very accurate and efficient.
93 citations
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TL;DR: In this paper, the authors generalized the wavelet collocation method to fractional differential equations using cubic B-spline wavelet and analyzed expressions of fractional derivatives in Caputo sense.
84 citations