Citation
Damag, Faten H. M. and Kilicman, Adem
(2017)
Sufficient conditions on existence of solution for nonlinear fractional iterative integral equation.
Journal of Nonlinear Sciences and Applications, 10 (2).
pp. 368-376.
ISSN 2008-1898; ESSN: 2008-1901
Abstract
In this article, we study nonlinear quadratic iterative integral equations and establish sufficient conditions for the existence of Volterra solutions for fractional iterative integral equations and solvency in Banach space and Cℓ,β. In the present work we use the principle of contraction, Schaefer’s fixed point theorem and the non-expansive operator method as essential tools. In this study we consider Riemann-Liouville differential operator and prove some related theorems, further provide an example as an application.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.22436/jnsa.010.02.03 |
| Publisher: | International Scientific Research Publications |
| Keywords: | Fractional integral equation; Existence of solution; Schaefer’s fixed point theorem; Non-expansive operator |
| Depositing User: | Mohd Hafiz Che Mahasan |
| Date Deposited: | 26 Sep 2018 02:47 |
| Last Modified: | 26 Sep 2018 02:47 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.22436/jnsa.010.02.03 |
| URI: | http://psasir.upm.edu.my/id/eprint/63332 |
| Statistic Details: | View Download Statistic |
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