ArticleOriginal scientific text
Title
On a mixed-type integral equation and fractional-order functional differential equations
Authors , ,
Abstract
In this paper we study the existence of solution of a nonlinear integral equation of (mixed type) Volterra-Fredholm type. As an application we prove the existence of solution of an initial value problem of fractional order in the space of Lebesgue integrable functions on the interval .
Keywords
Nonlinear functional integral equation, fractional calculus, Volterra operator, mixed type integral equation, Schauder fixed point theorem