A novel method for solving fractional order delay integro-differential equations via optimal auxiliary function method

Abstract

The method for determining the optimal auxiliary function is developed for non-linear delay
integro- differential equations. The proposed technique ensures high accuracy and allows
for over approximate solution convergence. OAFM ensures quick convergence with
a single iteration, making it highly effective. The efficiency and reliability of the proposed
approach are demonstrated by some numerical applications, which support the theoritical
results of the implemented algorithm.