A Convergent Collocation Approach for Generalized Fractional Integro-Differential Equations Using Jacobi Poly-Fractonomials

In this paper, we present a convergent collocation method with which to find the numerical solution of generalized fractional integro-differential equation (GFIDE). The presented approach is based on using Jacobi poly-fractonomials. GFIDE defined in terms B-operator introduced recently, and it reduces Caputo derivative other derivatives special cases. convergence error analysis proposed are also established. Linear nonlinear cases considered GFIDEs numerically solved simulation results validate theoretical results.