A novel numerical technique and stability criterion of VF type integro-differential equations of non-integer order

In this article, Ulam Hyers stability of Volterra Fredholm (VF) type fractional integro-differential equation is studied by the fixed point notion in the generalized metric space. In addition, the efficiency of the Laplace decomposition method in the context of solving some integral equations of the Volterra Fredholm type is shown. Further convergence analysis of the numerical scheme is shown.

Keywords:

Fixed point , Ulam Hyers stability , metric space