On a mixed-type integral equation and fractional-order functional differential equations

A. M. A. El-Sayed, Nagwa Sherif, and I. A. Ibrahim. "On a mixed-type integral equation and fractional-order functional differential equations." Commentationes Mathematicae 45.2 (2005): null. <http://eudml.org/doc/292110>.

@article{A2005,
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 $[0, 1]$.},
author = {A. M. A. El-Sayed, Nagwa Sherif, I. A. Ibrahim},
journal = {Commentationes Mathematicae},
keywords = {Nonlinear functional integral equation; fractional calculus; Volterra operator; mixed type integral equation; Schauder fixed point theorem},
language = {eng},
number = {2},
pages = {null},
title = {On a mixed-type integral equation and fractional-order functional differential equations},
url = {http://eudml.org/doc/292110},
volume = {45},
year = {2005},
}

TY - JOUR
AU - A. M. A. El-Sayed
AU - Nagwa Sherif
AU - I. A. Ibrahim
TI - On a mixed-type integral equation and fractional-order functional differential equations
JO - Commentationes Mathematicae
PY - 2005
VL - 45
IS - 2
SP - null
AB - 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 $[0, 1]$.
LA - eng
KW - Nonlinear functional integral equation; fractional calculus; Volterra operator; mixed type integral equation; Schauder fixed point theorem
UR - http://eudml.org/doc/292110
ER -