Citation
Damag, Faten Hasan Mohammed and Kilicman, Adem and Al-Arioi, Awsan T.
(2020)
On hybrid type nonlinear fractional integrodifferential equations.
Mathematics, 8 (6).
pp. 1-14.
ISSN 2227-7390
Abstract
In this paper, we introduce and investigate a hybrid type of nonlinear Riemann Liouville fractional integro-differential equations. We develop and extend previous work on such non-fractional equations, using operator theoretical techniques, and find the approximate solutions. We prove the existence as well as the uniqueness of the corresponding approximate solutions by using hybrid fixed point theorems and provide upper and lower bounds to these solutions. Furthermore, some examples are provided, in which the general claims in the main theorems are demonstrated.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.3390/math8060984 |
| Publisher: | Multidisciplinary Digital Publishing Institute |
| Keywords: | Fractional integro-differential equation; Hybrid type fractional integro-differential equation; Fixed point theorems; Dhage theorem; Approximations solutions; Lipschitz conditions; Weaker mixed partial continuity |
| Depositing User: | Mohamad Jefri Mohamed Fauzi |
| Date Deposited: | 05 Sep 2022 03:32 |
| Last Modified: | 05 Sep 2022 03:32 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3390/math8060984 |
| URI: | http://psasir.upm.edu.my/id/eprint/86971 |
| Statistic Details: | View Download Statistic |
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