The fractional differential equations are being used to formulate several problems in science and engineering nowadays. This paper introduces the Caputo fractional-order delay differential equations (FODDEs). In the present scheme, FODDEs have multi-term integer- and fractional-order derivatives for delayed or non-delayed terms. These equations are solved by implementing the Chebyshev collocation scheme and discussing its error analysis. The non-linear and linear systems of algebraic equations are obtained after simplifying the above equations. Various numerical examples illustrate the present numerical scheme’s reliability and efficiency, which are compared graphically with the recently proposed methods. The numerical results obtained through this scheme are easy and efficient to implement when solving various kinds of FODDEs.
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