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- Title
On the Solvability of Mixed-Type Fractional-Order Non-Linear Functional Integral Equations in the Banach Space C (I).
- Authors
Pathak, Vijai Kumar; Mishra, Lakshmi Narayan; Mishra, Vishnu Narayan; Baleanu, Dumitru
- Abstract
This paper is concerned with the existence of the solution to mixed-type non-linear fractional functional integral equations involving generalized proportional ( κ , ϕ )-Riemann–Liouville along with Erdélyi–Kober fractional operators on a Banach space C ([ 1 , T ]) arising in biological population dynamics. The key findings of the article are based on theoretical concepts pertaining to the fractional calculus and the Hausdorff measure of non-compactness (MNC). To obtain this goal, we employ Darbo's fixed-point theorem (DFPT) in the Banach space. In addition, we provide two numerical examples to demonstrate the applicability of our findings to the theory of fractional integral equations.
- Subjects
NONLINEAR integral equations; BANACH spaces; INTEGRAL equations; FUNCTIONAL equations; FRACTIONAL calculus
- Publication
Fractal & Fractional, 2022, Vol 6, Issue 12, p744
- ISSN
2504-3110
- Publication type
Article
- DOI
10.3390/fractalfract6120744