Geodesic
On a mixed-type integral equation and fractional-order functional differential equations
Commentationes Mathematicae, Tome 45 (2005) no. 2, pp. 237-247.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

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 \([0, 1]\).
DOI : 10.14708/cm.v45i2.5203
Mots-clés : Nonlinear functional integral equation, fractional calculus, Volterra operator, mixed type integral equation, Schauder fixed point theorem 
@article{10_14708_cm_v45i2_5203,
     author = {A. M. A. El-Sayed and Nagwa Sherif and I. A. Ibrahim},
     title = {On a mixed-type integral equation and fractional-order functional differential equations},
     journal = {Commentationes Mathematicae},
     pages = { 237--247},
     publisher = {mathdoc},
     volume = {45},
     number = {2},
     year = {2005},
     doi = {10.14708/cm.v45i2.5203},
     language = {pl},
     url = {http://geodesic.mathdoc.fr/articles/10.14708/cm.v45i2.5203/}
}
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
SP  -  237
EP  - 247
VL  - 45
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14708/cm.v45i2.5203/
DO  - 10.14708/cm.v45i2.5203
LA  - pl
ID  - 10_14708_cm_v45i2_5203
ER  - 
%0 Journal Article
%A A. M. A. El-Sayed
%A Nagwa Sherif
%A I. A. Ibrahim
%T On a mixed-type integral equation and fractional-order functional differential equations
%J Commentationes Mathematicae
%D 2005
%P  237-247
%V 45
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14708/cm.v45i2.5203/
%R 10.14708/cm.v45i2.5203
%G pl
%F 10_14708_cm_v45i2_5203
A. M. A. El-Sayed; Nagwa Sherif; I. A. Ibrahim. On a mixed-type integral equation and fractional-order functional differential equations. Commentationes Mathematicae, Tome 45 (2005) no. 2, pp.  237-247. doi : 10.14708/cm.v45i2.5203. http://geodesic.mathdoc.fr/articles/10.14708/cm.v45i2.5203/

Cité par Sources :