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 [0,1].

Keywords

Nonlinear functional integral equation, fractional calculus, Volterra operator, mixed type integral equation, Schauder fixed point theorem
Main language of publication
English
Published
2005
Published online
2017-12-19
Exact and natural sciences