On Existence and Asymptotic Stability of Solutions of a Functional-Integral Equation of Fractional Order

Mohamed Abdalla Darwish; Kishin Sadarangani

Abstract

We study the solvability of a quadratic functional-integral equation of fractional order. 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.

Author information

Contact details are reproduced from the original publication and may be historical.

Mohamed Abdalla Darwish

Dept. of Mathematics, Faculty of Science, Alexandria University at Damanhour, 22511 Damanhour, Egypt

darwishma@yahoo.com

Kishin Sadarangani

Dep. de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain

ksadaran@dma.ulpgc.es

Keywords

Functional integral equation
fractional integral
existence
asymptotic behaviour
measure of noncompactness
Schauder fixed point principle

Mathematics Subject Classification

45G10, 45M99, 47H09

Suggested citation

M. A. Darwish, K. Sadarangani. “On Existence and Asymptotic Stability of Solutions of a Functional-Integral Equation of Fractional Order.” Journal of Convex Analysis 17 (2010), No. 2, 413–426.