### Abstract

The existence of univalent solutions for fractional integral equations with maxima, in complex domain, is studied by using technique associated with measures of non-compactness. Upper and lower solutions are established by using the concept of the subordination and superordination of analytic functions.

Original language | English |
---|---|

Pages (from-to) | 653-663 |

Number of pages | 11 |

Journal | Advanced Studies in Theoretical Physics |

Volume | 4 |

Issue number | 13-16 |

Publication status | Published - 2010 |

### Fingerprint

### Keywords

- Fractional integral equation
- Subordination
- Superordination
- Univalent solution

### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Mathematical Physics

### Cite this

*Advanced Studies in Theoretical Physics*,

*4*(13-16), 653-663.

**A note on the existence of fractional integral equations.** / Ibrahim, Rabha W.; Darus, Maslina.

Research output: Contribution to journal › Article

*Advanced Studies in Theoretical Physics*, vol. 4, no. 13-16, pp. 653-663.

}

TY - JOUR

T1 - A note on the existence of fractional integral equations

AU - Ibrahim, Rabha W.

AU - Darus, Maslina

PY - 2010

Y1 - 2010

N2 - The existence of univalent solutions for fractional integral equations with maxima, in complex domain, is studied by using technique associated with measures of non-compactness. Upper and lower solutions are established by using the concept of the subordination and superordination of analytic functions.

AB - The existence of univalent solutions for fractional integral equations with maxima, in complex domain, is studied by using technique associated with measures of non-compactness. Upper and lower solutions are established by using the concept of the subordination and superordination of analytic functions.

KW - Fractional integral equation

KW - Subordination

KW - Superordination

KW - Univalent solution

UR - http://www.scopus.com/inward/record.url?scp=79551629152&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79551629152&partnerID=8YFLogxK

M3 - Article

VL - 4

SP - 653

EP - 663

JO - Advanced Studies in Theoretical Physics

JF - Advanced Studies in Theoretical Physics

SN - 1313-1311

IS - 13-16

ER -