Application of Fixed Point Theorem to Solvability for Non-Linear Fractional Hadamard Functional Integral Equations

In the present paper, our main work aims to discover the existence result of the fractional order non-linear Hadamard functional integral equations on [1, a] by employing the theory of measure of non-compactness together with the fixed point theory in Banach space. An example is presented to see the validity and practicability of our existence result.

Automated summary

The main objective of this paper is to discover the existence of fractional order non-linear Hadamard functional integral equations on [1, a] using the theory of measure of non-compactness and fixed point theory in Banach space. An example is provided to demonstrate the validity and practicality of the proposed existence result.