Bounded perturbation for evolution equations with a parameter \& application to population dynamics

DOI10.3934/DCDSS.2020177zbMath1475.34039OpenAlexW2991889098MaRDI QIDQ2056490

Emile Franc Doungmo Goufo

Publication date: 8 December 2021

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2020177

zbMATH Keywords

perturbationbounded linear operatorspopulation model\(\beta \)-derivativerevamped timetwo-parameter solution operators

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Perturbations of ordinary differential equations (34D10) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Fractional ordinary differential equations (34A08)

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Solvability of chaotic fractional systems with 3D four-scroll attractors
• Extension of matched asymptotic method to fractional boundary layers problems
• Attractors for fractional differential problems of transition to turbulent flows
• On bounded time-dependent perturbations of operator cosine functions
• Dynamics of traveling waves of variable order hyperbolic Liouville equation: regulation and control
• A new definition of fractional derivative
• Algorithms for the fractional calculus: a selection of numerical methods
• One-Parameter Semigroups for Linear Evolution Equations
• Evolutionary Integral Equations and Applications
• Evolution equations with a parameter and application to transport-convection differential equations
• APPLICATION OF THE CAPUTO-FABRIZIO FRACTIONAL DERIVATIVE WITHOUT SINGULAR KERNEL TO KORTEWEG-DE VRIES-BURGERS EQUATION∗
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