An Investigation on Existence, Uniqueness, and Approximate Solutions for Two-Dimensional Nonlinear Fractional Integro-Differential Equations

In this research, we provide sufficient conditions to prove the existence of local and global solutions for general two-dimensional nonlinear fractional integro-differential equations. Furthermore, that these are unique. addition, use operational matrices two-variable shifted Jacobi polynomials via collocation method reduce equations into a system Error bounds presented obtained. Five test problems solved. The obtained numerical results show accuracy, efficiency, applicability proposed approach.