International Journal of Nonlinear Analysis and Applications

Solution of a generalized two dimensional fractional integral equation

Document Type : Research Paper

Authors

Department of Mathematics‎, ‎National Institute of Technology Silchar‎, ‎India‎

Abstract

‎This paper deals with existence and local attractivity of solution of a quadratic fractional integral equation in two independent variables‎. ‎The solution space has been considered to be the Banach space of all bounded continuous functions defined on an unbounded interval‎. ‎The fundamental tool used for the purpose is the notion of noncompactness and the celebrated Schauder fixed point principle‎. ‎Finally an example has been provided at the end in support of the result‎.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 12, Issue 1
May 2021
Pages 481-492
  • Receive Date: 23 May 2019
  • Revise Date: 08 January 2020
  • Accept Date: 12 February 2020