Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 285, Issue -, Pages 174-183Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2016.03.002
Keywords
Quadratic integral equation; Integral equation of fractional order; Measure of noncompactness; Local attractivity; Asymptotic stability
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Funding
- Ministry of Human Resource Development, New Delhi, India
- Department of Mathematics, National Institute of Technology, Silchar, India
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In this paper, we present some results on existence of solutions for a quadratic Volterra integral equation of fractional order in two independent variables. This equation is considered in the Banach space of real functions, defined, continuous and bounded on an unbounded interval. Moreover, we show that solutions of this integral equation are locally attractive. An example is provided to illustrate the theory. (C) 2016 Elsevier Inc. All rights reserved.
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