# EXISTENCE AND ASYMPTOTIC STABILITY OF SOLUTIONS OF A PERTURBED FRACTIONAL FUNCTIONAL-INTEGRAL EQUATION WITH LINEAR MODIFICATION OF THE ARGUMENT

• Darwish, Mohamed Abdalla (Department of Mathematics Sciences Faculty for Girls King Abdulaziz University, Department of Mathematics Faculty of Science Damanhour University) ;
• Henderson, Johnny (Department of Mathematics Baylor University) ;
• O'Regan, Donal (Department of Mathematics National University of Ireland)
• Received : 2009.09.17
• Published : 2011.05.31

#### Abstract

We study the solvability of a perturbed quadratic functional-integral equation of fractional order with linear modification of the argument. This equation is considered in the Banach space of real functions defined, bounded and continuous on an unbounded interval. Moreover, we will obtain some asymptotic characterization of solutions.

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