摘要：In this paper, based on the operation matrix of the fractional order Chebyshev cardinal function(FOCCF), the accurate and effective method for solving two different forms of fractional delay differential equations(FDDEs) is proposed. Firstly, the new operational matrices(OMs) are presented for the fractional integration of the FOCCFs. Secondly, based on FOCCFs, a new direct method for is computing7 such problems is proposed. By making use of these OMs, the problems of the two different forms of FDDEs can be transformed to a set of simpler algebraic equations(AEs), which can be resolved by Newton’s iterative method. Illustrative examples are introduced by data and tables, which can prove the effectiveness and applicability of this new technology to two different FDDEs.
