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

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

Resumo

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.