a bernoulli operational matrix method for solving nonlinear multi-term fractional variable-order delay differential equation

This paper investigates the generalized non-linear multi-term delay fractional differential equation of variable order. the bernoulli operational matrix method is utilized to address a category of these equations, transforming the original problem into a system of algebraic equations amenable to numerical solutions. sufficient and complete numerical tests are presented to showcase the accuracy, generality, and efficiency of the presented technique, as well as the adaptability of this approach. the numerical results of this method are compared with the exact solution. a comparison of this scheme's results with the exact solution illustrates the method's effectiveness and validity.