Existence of solution for a fractional‐order Lotka‐Volterra reaction‐diffusion model with Mittag‐Leffler kernel
By Hasib Khan, Yongjin Li, Aftab Khan, Aziz Khan. Mathematical methods in the applied sciences, 2019
86 citations recorded by the source corpus.
In the literature, many researchers have studied Lotka‐Volterra (L‐V) models for different types of studies. In order to continue the study, we consider a fractional‐order L‐V model involving three different species in the Atangana‐Baleanu‐Caputo (ABC) sense of fractional derivative. This new model has potentials for a large number of research‐oriented studies. The first point that arises is whether the new model has a solution or not. Therefore, to answer this question, we consider the existence and uniqueness (EU) of the solutions and then Hyers‐Ulam (HU) stability for the proposed L‐V model.
Subfields: Applied Mathematics, Modeling and Simulation, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/4a32e63a1a9275d6d954b333d975d8a4f76e9f76
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In Applied Mathematics
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Citations in the corpus
- Optimal control problems with Atangana‐Baleanu fractional derivative (2020, background): “where B(γ) is satisfied the property B(0) = B(1) = 1.”