EN
Analysis of the spread of Hookworm infection with Caputo-Fabrizio fractional derivative
Abstract
This research study provides a mathematical analysis for the spread of Hookworm infection
model. Firstly, the proposed disease model is extended by means of the Caputo-Fabrizio fractional derivative. Then, existence and uniqueness of the solution is presented for the fractional-type Hookworm infection
model with the help of the fixed-point theorem. Theoretical results of the model under consideration show
the advantages of the fractional differential operators.
Keywords
References
- [1] Ismael HF, Atas SS, Bulut H, Osman MS. Analytical solutions to the M-derivative resonant Davey–Stewartson equations. Modern Physics Letters B. 2021 Oct 30;35(30):2150455.
- [2] Ismael HF, Bulut H, Baskonus HM, Gao W. Dynamical behaviors to the coupled Schrodinger-Boussinesq system with the beta ¨ derivative. AIMS Mathematics. 2021;6(7):7909-28.
- [3] Gao W, Ismael HF, Mohammed SA, Baskonus HM, Bulut H. Complex and real optical soliton properties of the paraxial non-linear Schrodinger equation in Kerr media with M-fractional. Frontiers in Physics. 2019 Nov 21;7:197.
- [4] Caputo M, Fabrizio M. A new definition of fractional derivative without singular kernel. Progr Fract Differ Appl 1 (2): 73–85.
- [5] Mustapha UT, Qureshi S, Yusuf A, Hincal E. Fractional modeling for the spread of Hookworm infection under Caputo operator. Chaos, Solitons & Fractals. 2020 Aug 1;137:109878.
- [6] Losada J, Nieto JJ. Properties of a new fractional derivative without singular kernel. Progr. Fract. Differ. Appl. 2015 Apr;1(2):87-92.
- [7] Caputo M. Linear models of dissipation whose Q is almost frequency independent—II. Geophysical Journal International. 1967 Nov 1;13(5):529-39.
- [8] Podlubny I. Fractional differential equations, mathematics in science and engineering. San Diego: Academic Press, 1999.
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Authors
Esin İlhan
*
0000-0002-0839-0942
Türkiye
Publication Date
April 30, 2022
Submission Date
June 7, 2022
Acceptance Date
June 9, 2022
Published in Issue
Year 1970 Volume: 7 Number: 1
APA
İlhan, E. (2022). Analysis of the spread of Hookworm infection with Caputo-Fabrizio fractional derivative. Turkish Journal of Science, 7(1), 43-52. https://izlik.org/JA24XD73JT
AMA
1.İlhan E. Analysis of the spread of Hookworm infection with Caputo-Fabrizio fractional derivative. TJOS. 2022;7(1):43-52. https://izlik.org/JA24XD73JT
Chicago
İlhan, Esin. 2022. “Analysis of the Spread of Hookworm Infection With Caputo-Fabrizio Fractional Derivative”. Turkish Journal of Science 7 (1): 43-52. https://izlik.org/JA24XD73JT.
EndNote
İlhan E (April 1, 2022) Analysis of the spread of Hookworm infection with Caputo-Fabrizio fractional derivative. Turkish Journal of Science 7 1 43–52.
IEEE
[1]E. İlhan, “Analysis of the spread of Hookworm infection with Caputo-Fabrizio fractional derivative”, TJOS, vol. 7, no. 1, pp. 43–52, Apr. 2022, [Online]. Available: https://izlik.org/JA24XD73JT
ISNAD
İlhan, Esin. “Analysis of the Spread of Hookworm Infection With Caputo-Fabrizio Fractional Derivative”. Turkish Journal of Science 7/1 (April 1, 2022): 43-52. https://izlik.org/JA24XD73JT.
JAMA
1.İlhan E. Analysis of the spread of Hookworm infection with Caputo-Fabrizio fractional derivative. TJOS. 2022;7:43–52.
MLA
İlhan, Esin. “Analysis of the Spread of Hookworm Infection With Caputo-Fabrizio Fractional Derivative”. Turkish Journal of Science, vol. 7, no. 1, Apr. 2022, pp. 43-52, https://izlik.org/JA24XD73JT.
Vancouver
1.Esin İlhan. Analysis of the spread of Hookworm infection with Caputo-Fabrizio fractional derivative. TJOS [Internet]. 2022 Apr. 1;7(1):43-52. Available from: https://izlik.org/JA24XD73JT