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

Authors

  • Dipankar Saha National Institute of Technology, Silchar
  • Mausumi Sen National Institute of Technology, Silchar
  • Nimai Sarkar National Institute of Technology, Silchar
  • Subhankar Saha National Institute of Technology, Silchar

Keywords:

Functional integral equation, Fixed point theory, Holder space

Abstract

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.

References

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Published

2020-08-28

How to Cite

Saha, D., Sen, M., Sarkar, N., & Saha, S. (2020). Existence of a solution in the Holder space for a nonlinear functional integral equation. Armenian Journal of Mathematics, 12(7). Retrieved from http://armjmath.sci.am/index.php/ajm/article/view/424