On solution of functional integral equation of fractional order

The aim of this paper is to investigate existence and stability of the solution of the functional integral equations of fractional order arising in physics, mechanics and chemical reactions. These equations are considered in the Banach space of real functions defined, continuous and bounded on an unbounded interval R+R+. The main tools used in our considerations are the concept of a measure of noncompactness and the classical Schauder fixed point theorem. Also, the numerical method is employed successfully for solving these functional integral equations of fractional order.