Local Fractional Laplace Decomposition Method for Solving Linear Partial Differential Equations with Local Fractional Derivative

Kapitel in diesem Buch

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