Existence of a solution in the Holder space for a nonlinear functional integral equation

Armenian Journal of Mathematics

article

Dipankar Saha¹  Mausumi Sen¹  Nimai Sarkar¹  Subhankar Saha¹ 

[1] National Institute of Technology

关键词: Functional integral equation;    Fixed point theory;    Holder space;   

DOI  :  10.52737/18291163-2020.12.7-1-8

学科分类：环境科学（综合）

来源: National Academy of Sciences of the Republic of Armenia

【 摘 要 】

This article is entirely devoted to the application of the measure of noncompactness defined in the Holder space. Here the emphasis is on the study of the nonlinear functional integral equation with changed arguments. Precisely, the existence of a solution is obtained by employing the Darbo fixed point theorem under certain hypotheses. Finally, we provide a tangible example which supports our results.

【 授权许可】

CC BY