A fixed point theorem using condensing operators and its applications to Erdelyi--Kober bivariate fractional integral equations

Authors

ANUPAM DAS
MOHSEN RABBANI
BIPAN HAZARIKA
SUMATI KUMARI PANDA

DOI

10.55730/1300-0098.3284

Abstract

The primary aim of this article is to discuss and prove fixed point results using the operator type condensing map, and to obtain the existence of solution of Erdelyi-Kober bivariate fractional integral equation in a Banach space. An instance is given to explain the results obtained, and we construct an iterative algorithm by sinc interpolation to find an approximate solution of the problem with acceptable accuracy.

Keywords

Measure of noncompactness, fractional quadratic integral equations, fixed point theorem, sinc interpolation, iterative algorithm

First Page

2513

Last Page

2529

Recommended Citation

DAS, ANUPAM; RABBANI, MOHSEN; HAZARIKA, BIPAN; and PANDA, SUMATI KUMARI (2022) "A fixed point theorem using condensing operators and its applications to Erdelyi--Kober bivariate fractional integral equations," Turkish Journal of Mathematics: Vol. 46: No. 6, Article 32. https://doi.org/10.55730/1300-0098.3284
Available at: https://journals.tubitak.gov.tr/math/vol46/iss6/32