Faculty of Mathematical Sciences, Malayer University, P. O. Box 16846-13114, Malayer, Iran
Abstract
In this study, an effective numerical method for solving fractional differential equations using Chebyshev cardinal functions is presented. The fractional derivative is described in the Caputo sense. An operational matrix of fractional order integration is derived and is utilized to reduce the fractional differential equations to system of algebraic equations. In addition, illustrative examples are presented to demonstrate the efficiency and accuracy of the proposed method.
Sayevand, K., & Arab, H. (2018). An efficient extension of the Chebyshev cardinal functions for differential equations with coordinate derivatives of non-integer order. Computational Methods for Differential Equations, 6(3), 339-352.
MLA
Khosro Sayevand; Hossein Arab. "An efficient extension of the Chebyshev cardinal functions for differential equations with coordinate derivatives of non-integer order". Computational Methods for Differential Equations, 6, 3, 2018, 339-352.
HARVARD
Sayevand, K., Arab, H. (2018). 'An efficient extension of the Chebyshev cardinal functions for differential equations with coordinate derivatives of non-integer order', Computational Methods for Differential Equations, 6(3), pp. 339-352.
VANCOUVER
Sayevand, K., Arab, H. An efficient extension of the Chebyshev cardinal functions for differential equations with coordinate derivatives of non-integer order. Computational Methods for Differential Equations, 2018; 6(3): 339-352.
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