Abstract
In this article, a general form of multiterm variable-order fractional delay differential equations (GVOFDDEs) is presented. The introduced GVOFDDEs have variable-order multi-terms and integer-order derivatives as well for all terms delayed or with normal argument. The variable order derivative is a generalization of fractional and integer orders, so it considered in this work. The collocation approach is applied with the aid of shifted Chebyshev polynomials to solve the presented GVOFDDEs as a matrix discretization technique. The presented technique transforms all terms of GVOFDDEs to a matrix equation with novel operational matrices. The qualification of the presented scheme is measured by many numerical test examples. (C) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University.