Existence Results of a Nonlinear Fractional Integral Equation of Two Variables in the Space of Regulated Functions

Authors

  • Soodabeh Alipour Fatideh Islamic Azad University.Mashhad Branch
  • Mahnaz Khanehgir Islamic Azad University.Mashhad Branch
  • Reza Allahyari Islamic Azad University.Mashhad Branch
  • Mohammad Mehrabinezhad
  • Hojjatollah Amiri Kayvanloo

DOI:

https://doi.org/10.30495/jme.v18i0.2971

Keywords:

Darbo’s fixed point theorem, Davison space, Fractional integral equation, Measure of noncompactness, Regulated function

Abstract

In the present work, we characterize relatively compact subsets of thespace of regulated functions defined on Davison spaces. Then, we introduce a measureof noncompactness on these spaces. Using the technique of the measure of noncompactnessand a fixed point theorem of Darbo type, we study the existence of solutionsof a nonlinear fractional integral equation of two variables in the space of regulatedfunctions. We also add an illustrative example in verification of our existence results.

Author Biography

Soodabeh Alipour Fatideh, Islamic Azad University.Mashhad Branch

Islamic Azad University.Mashhad Branch

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Published

2024-07-28

Issue

Vol. 18

Section

Vol. 18, No. 4, (2024)

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