IJPAM: Volume 93, No. 3 (2014)
EXISTENCE THEOREM FOR AN INITIAL VALUE PROBLEM
OF FRACTIONAL ORDER IN
OF FRACTIONAL ORDER IN

Ibrahim Abouelfarag
, Asmaa M. Awad
Mathematics Department
Faculty of Science
Suez Canal University
Ismailia, 41522, EGYPT
Mathematics Department
Faculty of Science and Education
Taif University
Al-Khurmah Branch, KINGDOM OF SAUDI ARABIA



Faculty of Science
Suez Canal University
Ismailia, 41522, EGYPT

Faculty of Science and Education
Taif University
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
Year: 2014
Volume: 93
Issue: 3
Pages: 325 - 337
