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Biological experiments based on fractional integral equations


Citation

Kilicman, Adem and Damag, Faten Hasan Mohammed (2018) Biological experiments based on fractional integral equations. Journal of Physics: Conference Series, 1132. art. no. 012023. pp. 1-9. ISSN 1742-6588; ESSN: 1742-6596

Abstract

This paper deals with modeling of mathematical biological experiments using the iterative fractional integral equations following type (1) w(u)=h(u)+∫u0u(u−r)βΓ(β+1)K(r,w(w(r)))dr(1) where u0, u ∈ [a, b], w, h ∈ C([a, b] × [a, b]), K ∈ C([a, b] × [a, b]). We propose that the mathematical model (1) containing the iterative integral of fractional order that is the best method in the studying this field. We establish the existence and uniqueness solutions for fractional iterative integral equation by using the technique function h non-expansive mappings. Also, we show the results of the system of fractional iterative integral equation by using the technique of non-expansive operators.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1088/1742-6596/1132/1/012023
Publisher: IOP Publishing
Keywords: Integral equations; Mathematics; Infective disease
Depositing User: Ms. Nuraida Ibrahim
Date Deposited: 30 Nov 2020 08:39
Last Modified: 30 Nov 2020 08:39
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1088/1742-6596/1132/1/012023
URI: http://psasir.upm.edu.my/id/eprint/73283
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