Two-dimensional Müntz–Legendre hybrid functions: theory and applications for solving fractional-order partial differential equations
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DOI: 10.1007/s40314-020-1137-5
Abstract: In this manuscript, we present a new numerical technique based on two-dimensional Müntz–Legendre hybrid functions to solve fractional-order partial differential equations (FPDEs) in the sense of Caputo derivative, arising in applied sciences. First, one-dimensional (1D)… read more here.
Keywords: fractional order; two dimensional; dimensional ntz; legendre hybrid ... See more keywords
State-control parameterization method based on using hybrid functions of block-pulse and Legendre polynomials for optimal control of linear time delay systems
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DOI: 10.1016/j.apm.2017.01.045
Abstract: Abstract In this paper, a method based on using hybrid functions of block-pulse and Legendre polynomials for finding the optimal solution of systems with delay in state and control variables is presented. The state-control parameterization… read more here.
Keywords: method based; control; state control; method ... See more keywords
Application of the hybrid functions to solve neutral delay functional differential equations
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DOI: 10.1080/00207160.2015.1114612
Abstract: ABSTRACT This paper presents a computational technique for the solution of the neutral delay differential equations with state-dependent and time-dependant delays. The properties of the hybrid functions which consist of block-pulse functions plus Legendre polynomials… read more here.
Keywords: neutral delay; functions solve; application hybrid; differential equations ... See more keywords