Solvability of a fractional functional equation arising in some epidemic models

Volume 10, Issue 4, pp 1767--1785 http://dx.doi.org/10.22436/jnsa.010.04.38

Publication Date: April 20, 2017 Submission Date: February 26, 2017

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Authors

Kishin Sadarangani - Departamento de Matematicas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain. Bessem Samet - Department of Mathematics, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia.

Abstract

We provide sufficient conditions for the existence of solutions to a fractional generalized Gripenberg equation, which arises in the study of the spread of an infectious disease that does not induce permanent immunity.

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Keywords

• Epidemic model
• existence
• solution
• fractional order.

MSC

•  45G05
•  74H20
•  26A33

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