SOME RESULTS ON MIXED FRACTIONAL INTEGRODIFFERENTIAL EQUATION IN MATRIX MB-SPACE.

In this article, we study the best approximation of nonlinear mixed fractional integrodifferential equation with Caputo fractional derivative by using a class of stochastic matrix control functions. Next, using the fixed point method, we study the Ulam-Hyers and Ulam-Hyers-Rassias stability of the non-linear fractional integrodifferential equation of the mixed type in MB-space. [ABSTRACT FROM AUTHOR]