The main purpose of this paper was to efficiently apply the new procedure solve Linear Systems Volterra Integro-Fractional Differential Equations (LSVIFDEs) in Caputo sense for fractional order by means Fourth Block-by-Block approach with forward finite difference approximation. With technique, authors use an appropriate process convert our problem into analogous piecewise iterative algebraic l...

In this paper studies the exponential stability result is derived for second-order fractional stochastic integro-differential equations (FSIDEs) driven by sub-fractional Brownian motion (sub-fBm). By constructing a successive approximation method, we present pth moment of FSIDEs using analysis techniques and calculus (FC). At last, an example demonstrated to illustrate obtained theoretical resu...

This paper demonstrates a study on some significant latest innovations in the approximated techniques to find the approximate solutions of Caputo fractional Volterra-Fredholm integro-differential equations. To this aim, the study uses the modified Adomian decomposition method (MADM) and the modified variational iteration method (MVIM). A wider applicability of these techniques are based on thei...