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Toward the existence and uniqueness of solutions for fractional integro-differential equations under uncertainty


Citation

Hosseini, Ali Ahmadian and Ismail, Fudziah and Senu, Norazak and Salahshour, Soheil and Suleiman, Mohamed (2016) Toward the existence and uniqueness of solutions for fractional integro-differential equations under uncertainty. In: 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016), 26-28 Jan. 2016, Kuala Lumpur, Malaysia. (pp. 1-6).

Abstract

The main contribution of the current paper is to obtain new results on the existence and uniqueness of the solution of fractional integro-differential equations under uncertainty with nonlocal conditions. For this purpose, we have used two basic tools, the contraction mapping principle and Krasnoselskii's fixed-point theorem. Indeed, we have considered the original problem involving fuzzy Caputo differentiability, together with fuzzy nonlinear condition.


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Official URL or Download Paper: http://aip.scitation.org/doi/abs/10.1063/1.4952514

Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1063/1.4952514
Publisher: AIP Publishing
Keywords: Fractional integro-differential equations; Uniqueness; Solution
Depositing User: Nabilah Mustapa
Date Deposited: 08 Sep 2017 09:41
Last Modified: 08 Sep 2017 09:41
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4952514
URI: http://psasir.upm.edu.my/id/eprint/57180
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