SOME NEW EXISTENCE, UNIQUENESS AND CONVERGENCE RESULTS FOR FRACTIONAL VOLTERRA-FREDHOLM ...

This paper demonstrates a study on some significant latest iovations in the approximated techniques to find the approximate solutions of Caputo fractional Volterra-Fredholm integro-differential equations. To apply this, the study uses modified Adomian decomposition method (MADM) and modified variational iteration method (MVIM). A wider applicability of these techniques are based on their reliability and reduction in the size of the computational work. This study provides analytical approximate to determine the behavior of the solution. It proves the existence and uniqueness results and convergence of the solution. In addition, it brings an example to examine the validity and applicability of the proposed techniques.