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- Title
On the solvability of a class of nonlinear functional integral equations involving Erdélyi–Kober fractional operator.
- Authors
Pathak, Vijai Kumar; Mishra, Lakshmi Narayan; Mishra, Vishnu Narayan
- Abstract
In this paper, utilizing the technique of generalized Darbo's fixed‐point theorem associated with measure of noncompactness in Banach space, we analyze the existence of solution for a class of nonlinear functional integral equations involving Erdélyi–Kober fractional operator. The existing result was obtained to strengthen the ones mentioned previously in the literature. An example for a class of nonlinear functional integral equations is also presented to validate our main result. Finally, we propose the numerical method formed by the modified homotopy perturbation approach to resolving the problem with acceptable accuracy.
- Subjects
NONLINEAR integral equations; BANACH spaces; INTEGRAL equations
- Publication
Mathematical Methods in the Applied Sciences, 2023, Vol 46, Issue 13, p14340
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.9322