Existence and uniqueness of solution of Caputo fractional differential equation
Existence of almost periodic solution of a model of phytoplankton allelopathy with delay
Approximate Controllability and Optimal Control of Impulsive Fractional Functional Differential Equations
Analysis of Caputo impulsive fractional order differential equations with applications
Asymptotic almost automorphic solutions of impulsive neural network with almost automorphic coefficients
PC-Almost Automorphic Solution of Impulsive Fractional Differential Equations
Dynamical Study of Fractional Model of Allelopathic Stimulatory Phytoplankton Species
In this paper, we present a fractional model of interacting phytoplankton species in which one species produces chemical which is stimulatory in nature to the other species. We study existence, uniqueness, permanence, persistence and stability of the solution. We introduce a new method to prove permanence and persistence, which may be applicable to several ecological models of fractional order. At the end we propose a discritization method and perform some numerical simulations to validate our analytical findings.