Fractional logistic models in the frame of fractional operators generated by conformable derivatives
DOI10.1016/j.chaos.2018.12.015zbMath1448.34006OpenAlexW2906338540MaRDI QIDQ2212430
Fahd Jarad, Qasem M. Al-Mdallal, Thabet Abdeljawad
Publication date: 23 November 2020
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2018.12.015
fractional-order differential equationconformable fractional derivativeslogistic equationsmodified logistic model
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Fractional ordinary differential equations (34A08) Numerical methods for functional-differential equations (65L03)
Related Items (42)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- New properties of conformable derivative
- Caputo-type modification of the Hadamard fractional derivatives
- An efficient algorithm for solving higher-order fractional Sturm-Liouville eigenvalue problems
- An efficient method for solving non-linear singularly perturbed two points boundary-value problems of fractional order
- On conformable fractional calculus
- New approach to a generalized fractional integral
- Dynamical analysis of fractional-order modified logistic model
- On Caputo modification of the Hadamard fractional derivatives
- A convergent algorithm for solving higher-order nonlinear fractional boundary value problems
- A note on the fractional logistic equation
- On a new class of fractional operators
- Convergent power series of \(\operatorname{sech}(x)\) and solutions to nonlinear differential equations
- Variable order and distributed order fractional operators
- Fractional derivatives with no-index law property: application to chaos and statistics
- Fractional conformable derivatives of Liouville-Caputo type with low-fractionality
- Non validity of index law in fractional calculus: a fractional differential operator with Markovian and non-Markovian properties
- A new framework for multivariate general conformable fractional calculus and potential applications
- On the fractional-order logistic equation
- On the numerical solution of fractional Sturm–Liouville problems
- High-accuracy power series solutions with arbitrarily large radius of convergence for the fractional nonlinear Schrödinger-type equations
- On the generalized fractional derivatives and their Caputo modification
- A New Approach to Generalized Fractional Derivatives
- Properties of the Katugampola fractional derivative with potential application in quantum mechanics
This page was built for publication: Fractional logistic models in the frame of fractional operators generated by conformable derivatives