On the Existence of Solutions in Coupled System of Non-Linear Fractional Integro-Differential Equations on the Half LineA. Babakhani (pp. 48-58)
In the present work we discuss the existence of solutions for a system of nonlinear fractional integro-differential equations with initial conditions. This system involving the Caputo fractional derivative and Riemann−Liouville fractional integral. Our results are based on a fixed point theorem of Schauder combined with the diagonalization method.
fractional derivative/integral, Banach space, diagonalization method, uniform norm, Green‘s function, completely continuous operator, equicontinuous set