Abstract
In this contribution, a non-linear arctic sea-ice model of fractional Duffing oscillator is given. The solution of the model was obtained using a new proposed analytical method, which is an elegant combination of asymptotic and Laplace methods. The result obtained showed that this method is a very powerful and efficient technique for finding the analytical solution of nonlinear fractional differential equation. From the analysis of the result, we observed that the impact of anthropogenic climate change on arctic sea-ice could lead to flooding in many coastal areas and low-lying island nations.
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Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: None declared.
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Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
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© 2020 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Original Research Articles
- Dynamic behavior of a stochastic SIRS model with two viruses
- Optimization approach to the constrained regulation problem for linear continuous-time fractional-order systems
- Systematic formulation of a general numerical framework for solving the two-dimensional convection–diffusion–reaction system
- Positive periodic solution for inertial neural networks with time-varying delays
- Stability analysis of almost periodic solutions for discontinuous bidirectional associative memory (BAM) neural networks with discrete and distributed delays
- Analysis of (α, β)-order coupled implicit Caputo fractional differential equations using topological degree method
- A new approach to the bienergy and biangle of a moving particle lying in a surface of lorentzian space
- Noninstantaneous impulsive and nonlocal Hilfer fractional stochastic integrodifferential equations with fractional Brownian motion and Poisson jumps
- Stress wave propagation in different number of fissured rock mass based on nonlinear analysis
- Analytical predictor–corrector entry guidance for hypersonic gliding vehicles
- Solving a linear fractional equation with nonlocal boundary conditions based on multiscale orthonormal bases method in the reproducing kernel space
- Anthropogenic climate change on a non-linear arctic sea-ice model of fractional Duffing oscillator
- Abundant rogue wave solutions for the (2 + 1)-dimensional generalized Korteweg–de Vries equation
- Invariant solutions of fractional-order spatio-temporal partial differential equations
Artikel in diesem Heft
- Frontmatter
- Original Research Articles
- Dynamic behavior of a stochastic SIRS model with two viruses
- Optimization approach to the constrained regulation problem for linear continuous-time fractional-order systems
- Systematic formulation of a general numerical framework for solving the two-dimensional convection–diffusion–reaction system
- Positive periodic solution for inertial neural networks with time-varying delays
- Stability analysis of almost periodic solutions for discontinuous bidirectional associative memory (BAM) neural networks with discrete and distributed delays
- Analysis of (α, β)-order coupled implicit Caputo fractional differential equations using topological degree method
- A new approach to the bienergy and biangle of a moving particle lying in a surface of lorentzian space
- Noninstantaneous impulsive and nonlocal Hilfer fractional stochastic integrodifferential equations with fractional Brownian motion and Poisson jumps
- Stress wave propagation in different number of fissured rock mass based on nonlinear analysis
- Analytical predictor–corrector entry guidance for hypersonic gliding vehicles
- Solving a linear fractional equation with nonlocal boundary conditions based on multiscale orthonormal bases method in the reproducing kernel space
- Anthropogenic climate change on a non-linear arctic sea-ice model of fractional Duffing oscillator
- Abundant rogue wave solutions for the (2 + 1)-dimensional generalized Korteweg–de Vries equation
- Invariant solutions of fractional-order spatio-temporal partial differential equations