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- Title
Existence results and behavior analysis for nonlinear age-dependent population dynamics problems with conformable fractional operator.
- Authors
Asraoui, Hiba El; Omari, M'hamed El; Mfadel, Ali El; Hilal, Khalid
- Abstract
In this paper, we investigate the existence of solutions and analyze the large-time behavior for Gurtin–Maccamy population model involving conformable fractional derivatives. As a preliminary step, we construct a generic structure of the solution associated with our proposed model by utilizing some basic properties and tools of conformable fractional calculus. We establish the existence of a unique solution of the given model with the given initial conditions. At last, by using the upper and lower solutions for the characteristic equation, we define the upper and lower boundaries for the obtained solution and describe the large-time behavior of the total population.
- Subjects
POPULATION dynamics; BEHAVIORAL assessment; NONLINEAR analysis; FRACTIONAL calculus
- Publication
International Journal of Biomathematics, 2024, Vol 17, Issue 5, p1
- ISSN
1793-5245
- Publication type
Article
- DOI
10.1142/S1793524523500493