This paper discussed some existence theorems for nonlinear functional integral equations in the space L^1 of Lebesgue integrable functions,by using the Darbo fixed point theorem associated with the Hausdorff measure of noncompactness. Also, as an application, we discuss the existence of solutions for some nonlinear integral equations with fractional order.
| Published in |
American Journal of Theoretical and Applied Statistics (Volume 6, Issue 5-1)
This article belongs to the Special Issue Statistical Distributions and Modeling in Applied Mathematics |
| DOI | 10.11648/j.ajtas.s.2017060501.13 |
| Page(s) | 13-22 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2017. Published by Science Publishing Group |
Superposition Operator, Carathe'odory Conditions, Measure of Noncompactness, Fixed Point Theorem
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APA Style
Mahmoud M. El-Borai, Wagdy G. El-Sayed, Noura N. Khalefa. (2017). Solvability of Some Nonlinear Integral Functional Equations. American Journal of Theoretical and Applied Statistics, 6(5-1), 13-22. https://doi.org/10.11648/j.ajtas.s.2017060501.13
ACS Style
Mahmoud M. El-Borai; Wagdy G. El-Sayed; Noura N. Khalefa. Solvability of Some Nonlinear Integral Functional Equations. Am. J. Theor. Appl. Stat. 2017, 6(5-1), 13-22. doi: 10.11648/j.ajtas.s.2017060501.13
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Download@article{10.11648/j.ajtas.s.2017060501.13,
author = {Mahmoud M. El-Borai and Wagdy G. El-Sayed and Noura N. Khalefa},
title = {Solvability of Some Nonlinear Integral Functional Equations},
journal = {American Journal of Theoretical and Applied Statistics},
volume = {6},
number = {5-1},
pages = {13-22},
doi = {10.11648/j.ajtas.s.2017060501.13},
url = {https://doi.org/10.11648/j.ajtas.s.2017060501.13},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.s.2017060501.13},
abstract = {This paper discussed some existence theorems for nonlinear functional integral equations in the space L^1 of Lebesgue integrable functions,by using the Darbo fixed point theorem associated with the Hausdorff measure of noncompactness. Also, as an application, we discuss the existence of solutions for some nonlinear integral equations with fractional order.},
year = {2017}
}
TY - JOUR T1 - Solvability of Some Nonlinear Integral Functional Equations AU - Mahmoud M. El-Borai AU - Wagdy G. El-Sayed AU - Noura N. Khalefa Y1 - 2017/02/28 PY - 2017 N1 - https://doi.org/10.11648/j.ajtas.s.2017060501.13 DO - 10.11648/j.ajtas.s.2017060501.13 T2 - American Journal of Theoretical and Applied Statistics JF - American Journal of Theoretical and Applied Statistics JO - American Journal of Theoretical and Applied Statistics SP - 13 EP - 22 PB - Science Publishing Group SN - 2326-9006 UR - https://doi.org/10.11648/j.ajtas.s.2017060501.13 AB - This paper discussed some existence theorems for nonlinear functional integral equations in the space L^1 of Lebesgue integrable functions,by using the Darbo fixed point theorem associated with the Hausdorff measure of noncompactness. Also, as an application, we discuss the existence of solutions for some nonlinear integral equations with fractional order. VL - 6 IS - 5-1 ER -
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