IJPAM: Volume 93, No. 3 (2014)
OF FRACTIONAL ORDER IN
Faculty of Science
Suez Canal University
Ismailia, 41522, EGYPT
Faculty of Science and Education
Al-Khurmah Branch, KINGDOM OF SAUDI ARABIA
Abstract. In this paper we study the existence of solution for a functional integral equation. As an application we prove the existence of solution for an initial value problem of the fractional order. The main tools used are Schauder fixed point theorem, Lusin theorem and Scorza Dragoni theorem.
Received: November 6, 2013
AMS Subject Classification: 45G10
Key Words and Phrases: nonlinear functional integral equation, Fredholm operator, Volterra operator, fractional calculus
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DOI: 10.12732/ijpam.v93i3.3 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 325 - 337
This work is licensed under the Creative Commons Attribution International License (CC BY).