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Peer-reviewedCC BYFixed Point Theory and Algorithms for Sciences and Engineering

Measures of noncompactness in Lipschitz Banach algebra and application to quadratic fractional integral equation

  • Hojjatollah Amiri Kayvanloo1
  • Mohammad Mursaleen2
  • Ömer Kişi3
  1. 1Department of Mathematics, Ma.C., Islamic Azad University
  2. 2Department of Mathematical Sciences, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences
  3. 3Department of Mathematics, Bartin University
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Abstract

In this paper, we introduce the Banach algebra on unbounded interval that satisfies the lipschitz condition, next we define measures of noncompactness in this space. Further, we investigate the solvability of a nonlinear quadratic fractional integral equation by applying the technique of measures of noncompactness in conjunction with the Darbo’s fixed point theorem. Moreover, we demonstrate an example to support the obtained main result.

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Cite

BibTeXRIS
BibTeX
@article{kayvanloo2026measures,
  title = {{Measures of noncompactness in Lipschitz Banach algebra and application to quadratic fractional integral equation}},
  author = {Hojjatollah Amiri Kayvanloo and Mohammad Mursaleen and Ömer Kişi},
  journal = {Fixed Point Theory and Algorithms for Sciences and Engineering},
  year = {2026},
  month = jul,
  doi = {10.1186/s13663-026-00845-5},
  url = {https://doi.org/10.1186/s13663-026-00845-5},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Measures of noncompactness in Lipschitz Banach algebra and application to quadratic fractional integral equation
AU  - Hojjatollah Amiri Kayvanloo
AU  - Mohammad Mursaleen
AU  - Ömer Kişi
PY  - 2026
DA  - 2026/07/01
JO  - Fixed Point Theory and Algorithms for Sciences and Engineering
DO  - 10.1186/s13663-026-00845-5
UR  - https://doi.org/10.1186/s13663-026-00845-5
AB  - In this paper, we introduce the Banach algebra on unbounded interval that satisfies the lipschitz condition, next we define measures of noncompactness in this space. Further, we investigate the solvability of a nonlinear quadratic fractional integral equation by applying the technique of measures of noncompactness in conjunction with the Darbo’s fixed point theorem. Moreover, we demonstrate an example to support the obtained main result.
SN  - 2730-5422
ER  -