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On simple iterative fractional order differential equations


Citation

Damag, Faten Hasan Mohammed and Kilicman, Adem (2016) On simple iterative fractional order differential equations. In: 2nd International Conference and Workshop on Mathematical Analysis (ICWOMA 2016), 2-4 Aug. 2016, Langkawi, Malaysia. (pp. 1-8).

Abstract

In this paper, the simple fractional iterative differential equation will be the focus of study Dβv(s)=vn(s), v(s0)=a. where s0, v0 ∈ I = [0, b], and 0 < β < 1. One class of the iterative fractional differential equations is the simple iterative fractional differential equation. In this paper, the local existence and uniqueness results for the fractional order of degree n of simple iterative fractional differential equation are proven and the solutions found by using power series.


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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1063/1.4972152
Publisher: AIP Publishing
Keywords: Fractional iterative differential equations; Mathematical biological model
Depositing User: Nabilah Mustapa
Date Deposited: 27 Sep 2017 10:47
Last Modified: 27 Sep 2017 10:47
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4972152
URI: http://psasir.upm.edu.my/id/eprint/57445
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