Maleknejad, K., Nouri, K., Torkzadeh, L. (2017). Study on multi-order fractional differential equations via operational matrix of hybrid basis functions. Bulletin of the Iranian Mathematical Society, 43(2), 307-318.
K. Maleknejad; K. Nouri; L. Torkzadeh. "Study on multi-order fractional differential equations via operational matrix of hybrid basis functions". Bulletin of the Iranian Mathematical Society, 43, 2, 2017, 307-318.
Maleknejad, K., Nouri, K., Torkzadeh, L. (2017). 'Study on multi-order fractional differential equations via operational matrix of hybrid basis functions', Bulletin of the Iranian Mathematical Society, 43(2), pp. 307-318.
Maleknejad, K., Nouri, K., Torkzadeh, L. Study on multi-order fractional differential equations via operational matrix of hybrid basis functions. Bulletin of the Iranian Mathematical Society, 2017; 43(2): 307-318.
Study on multi-order fractional differential equations via operational matrix of hybrid basis functions
1School of Mathematics, Iran University of Science & Technology, Narmak, Tehran 16846 13114, Iran.
2Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, P.O. Box 35195-363, Semnan, Iran.
Receive Date: 28 February 2014,
Revise Date: 24 September 2015,
Accept Date: 14 November 2015
Abstract
In this paper we apply hybrid functions of general block-pulse functions and Legendre polynomials for solving linear and nonlinear multi-order fractional differential equations (FDEs). Our approach is based on incorporating operational matrices of FDEs with hybrid functions that reduces the FDEs problems to the solution of algebraic systems. Error estimate that verifies a convergence of the approximate solutions is considered. The numerical results obtained by this scheme have been compared with the exact solution to show the efficiency of the method.
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