Analysis of logistic equation pertaining to a new fractional derivative with non-singular kernel

By Devendra Kumar, Jagdev Singh, M. Al Qurashi, Dumitru Băleanu. 2017

59 citations recorded by the source corpus.

In this work, we aim to analyze the logistic equation with a new derivative of fractional order termed in Caputo–Fabrizio sense. The logistic equation describes the population growth of species. The existence of the solution is shown with the help of the fixed-point theory. A deep analysis of the existence and uniqueness of the solution is discussed. The numerical simulation is conducted with the help of the iterative technique. Some numerical simulations are also given graphically to observe the effects of the fractional order derivative on the growth of population.

Subfields: Applied Mathematics, Modeling and Simulation, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/c9d33e9d84a1175c33ebb2f03967d2996029772c

Citations in the corpus

• Fundamental solutions of anomalous diffusion equations with the decay exponential kernel (2019, unknown): “H R D γ,μ b− f (t) = Φ(γ) ( − d dt )n b ∫ t exp (−μ(γ) (τ − t)) f (τ)dτ, (6)”