Integral equations and initial value problems for nonlinear differential equations of fractional order
by
Nickolai Kosmatov
University of Arkansas at Little Rock

We discuss solvability of integral equations in Lebesgue spaces. The integral equations are associated with initial value problems for a nonlinear differential equation of fractional order. The differential operator is the Caputo fractional derivative and the inhomogeneous term satisfies the Carathéodory conditions and depends on a fractional derivative of lower order.

Date received: September 16, 2007