Convergence analysis for the fractional decomposition method applied to class of nonlinear fractional Fredholm integro-differential equation

For scientists conducting research, fractional integral differential equation analysis is crucial. Therefore, in this study, we investigate utilizing a novel method called the decomposition method, which applicable to nonlinear Fredholm integro-differential equations. Then, apply approach five test problems for general derivative [Formula: see text] involving To best of our knowledge, are first ever do so because very complicated calculations involved when dealing with case text]. integral-differential equations, provide both exact and approximate solutions. Throughout work, Caputo discussed. This technique leads us say that precise, accurate, efficient, according theoretical analysis.