On solvability of quadratic Erd\'elyi-K\"ober fractional integral equations in Orlicz space

On solvability of quadratic Erd\'elyi-K\"ober fractional....

  • Bipan Hazarika Rajiv Gandhi University
  • Pallav Bora Gauhati University

Abstract

In this paper, we focus on providing some properties of Erd\'elyi-K\"ober fractional operators
and prove fixed point results using the operator type condensing map to find the existence
of solution of Erd\'elyi-K\"ober fractional Integral equation in Orlicz space. The main tool
in our considerations is the technique associated to measure of non-compactness. Lastly, we provide some examples to illustrate our main results.

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Author Biography

Bipan Hazarika, Rajiv Gandhi University

Mathematics

Professor

Published
2025-08-24
Section
Research Articles