Uniqueness and Convergence of Solution of Multi-Term Fractional Order Fredholm Integro-Differential Equation

This paper focuses on multi-term fractional order Fredholm integro-differential equation which was transformed to integral equation by using Riemann-Liouville fractional integral. The uniqueness of solution of the multi-term fractional order Fredholm integro-differential equation was proved using Banach contraction principle alongside the convergence of solution of the multi-term fractional order Fredholm integro-differential equation, where Cauchy convergence creteria was used. Examples were given to prove the solvability of the multi-term fractional order Fredholm integro-differential equation.