Application of a generalization of Darbos fixed point theorem on an integral equation involving the weighted fractional integral with respect to another function

2023/06/15 by Deb, Sudip, Das, Anupam
#26A33 #45G05 #45G10 #47H10 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2306.08922

Abstract

In this study , we display a generalization of Darbos fixed point theorem , by using the use of a freshly made contraction operator and that we use to study the solvability of an integral equation involving the weighted fractional integral with respect to another function in Banach space. Also, we consider some appropriate example for verifying our results.

Related

• An application to a system of (k,ρ)-fractional Hilfer integral equations via a measure of noncompactness
• Existence of fixed points for condensing operators under an integral condition
• Weighted fractional calculus: a general class of operators
• On the fractional operators with respect to another function
• A generalization of Kannan and Fisher fixed point theorems with an application to Volterra type integral equations