On solvability for two-dimensional non-linear functional integral equations via measure of non-compactness
In this paper, we find out conditions for the existence result of two dimensional generalized functional integral equations in \(C([0, c]\times [0, d])\). The main theorem is proved by using the theory of Petryshyn's fixed point theorem and measure of non-compactness. A few examples of equations is provided to show the applicability in various integral equations.
Authors
- Satish Kumar (ORCID: https://orcid.org/0000-0003-2264-9006)
- Balbir Singh (ORCID: https://orcid.org/0000-0001-9591-3694)
- Raj Kumar (ORCID: https://orcid.org/0000-0002-9650-5606)
Publication Details
- Journal
- The Journal of Nonlinear Sciences and Applications
- Published
- 2024-11-15
- DOI
- https://doi.org/10.22436/jnsa.018.01.02
- Primary Topic
- advanced mathematical theories
- Type
- article
- Field-Weighted Citation Impact
- 0.00