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

Vijai Kumar Pathak and Lakshmi Narayan Mishra
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Vijai Kumar Pathak: Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632 014, Tamil Nadu, India
Lakshmi Narayan Mishra: Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632 014, Tamil Nadu, India

Mathematics, 2022, vol. 10, issue 14, 1-16

Abstract: 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.

Keywords: non-linear Hadamard fractional functional integral equation; Banach algebra; measures of non-compactness; fixed point theorem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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