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Fractional Order Models for Electrochemical Devices
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Jocelyn Sabatier
Kapitel in diesem Buch
- Frontmatter I
- Contents V
- Fractional Dynamics 1
- Local Fractional Calculus on Shannon Wavelet Basis 6
- Discretely and Continuously Distributed Dynamical Systems with Fractional Nonlocality 31
- Temporal Patterns in Earthquake Data-series 50
- An Integral Transform arising from Fractional Calculus 61
- Approximate Solutions to Time-fractional Models by Integral-balance Approach 78
- A Study of Sequential Fractional q-integro-difference Equations with Perturbed Anti-periodic Boundary Conditions 110
- Fractional Diffusion Equation, Sorption and Reaction Processes on a Surface 129
- Fractional Order Models for Electrochemical Devices 141
- Results for an Electrolytic Cell Containing Two Groups of Ions: PNP - Model and Fractional Approach 161
- Application of Fractional Calculus to Epidemiology 174
- On Numerical Methods for Fractional Differential Equation on a Semi-infinite Interval 191
- From Leibniz’s Notation for Derivative to the Fractal Derivative, Fractional Derivative and Application in Mongolian Yurt 219
- Cantor-type spherical-coordinate Method for Differential Equations within Local Fractional Derivatives 231
- Approximate Methods for Local Fractional Differential Equations 243
- Numerical Solutions for ODEs with Local Fractional Derivative 258
- Local Fractional Calculus Application to Differential Equations Arising in Fractal Heat Transfer 272
- Local Fractional Laplace Decomposition Method for Solving Linear Partial Differential Equations with Local Fractional Derivative 286
- Calculus on Fractals 307
- Solutions of Nonlinear Fractional Differential Equations Systems through an Implementation of the Variational Iteration Method 333
- Fractional-order Nonlinear Systems: Chaotic Dynamics, Numerical Simulation and Circuits Design 343
- Fractional Derivative of the Riemann Zeta Function 357
- A Treatment of Generalized Fractional Differential Equations: Sumudu Transform Series Expansion Solutions, and Applications 369
Kapitel in diesem Buch
- Frontmatter I
- Contents V
- Fractional Dynamics 1
- Local Fractional Calculus on Shannon Wavelet Basis 6
- Discretely and Continuously Distributed Dynamical Systems with Fractional Nonlocality 31
- Temporal Patterns in Earthquake Data-series 50
- An Integral Transform arising from Fractional Calculus 61
- Approximate Solutions to Time-fractional Models by Integral-balance Approach 78
- A Study of Sequential Fractional q-integro-difference Equations with Perturbed Anti-periodic Boundary Conditions 110
- Fractional Diffusion Equation, Sorption and Reaction Processes on a Surface 129
- Fractional Order Models for Electrochemical Devices 141
- Results for an Electrolytic Cell Containing Two Groups of Ions: PNP - Model and Fractional Approach 161
- Application of Fractional Calculus to Epidemiology 174
- On Numerical Methods for Fractional Differential Equation on a Semi-infinite Interval 191
- From Leibniz’s Notation for Derivative to the Fractal Derivative, Fractional Derivative and Application in Mongolian Yurt 219
- Cantor-type spherical-coordinate Method for Differential Equations within Local Fractional Derivatives 231
- Approximate Methods for Local Fractional Differential Equations 243
- Numerical Solutions for ODEs with Local Fractional Derivative 258
- Local Fractional Calculus Application to Differential Equations Arising in Fractal Heat Transfer 272
- Local Fractional Laplace Decomposition Method for Solving Linear Partial Differential Equations with Local Fractional Derivative 286
- Calculus on Fractals 307
- Solutions of Nonlinear Fractional Differential Equations Systems through an Implementation of the Variational Iteration Method 333
- Fractional-order Nonlinear Systems: Chaotic Dynamics, Numerical Simulation and Circuits Design 343
- Fractional Derivative of the Riemann Zeta Function 357
- A Treatment of Generalized Fractional Differential Equations: Sumudu Transform Series Expansion Solutions, and Applications 369
