Solution for a fractional diffusion-wave equation defined in a bounded domain

Nonlinear Dynamics

Volumn 29, Issue 1-4, 2002, Pages 145-155

  Agrawal, Om P ^a  

^a SOUTHERN ILLINOIS UNIVERSITY   (United States)

Author keywords

Bounded domain solution for fractional diffusion wave equation; Fractional derivative; Fractional order diffusion wave equation; Laplace transform

Indexed keywords

ALGEBRA; DIFFUSION; FUNCTIONS; LAPLACE TRANSFORMS;

FRACTIONAL DIFFERENTIAL EQUATIONS;

WAVE EQUATIONS;

EID: 0036650559     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1016539022492     Document Type: Article

References (24)

1. Fractional calculus: Some basic problems in continuum and statistical mechanics
2. To the theoretical explanation of the universal response
3. Realization of the generalized transfer equation in a medium with fractal geometry
4. The fractional diffusion equation
5. Fractional diffusion and wave equations
6. A numerical method for a partial integro-differential equation
7. Integrodifferential equation which interpolates the heat equation and the wave equation
8. Integrodifferential equation which interpolates the heat equation and the wave equation. II
9. Fractional diffusion equation and relaxation in complex viscoelastic materials
10. Continuous-time random walks and the fractional diffusion equation
11. Boundary fractional derivative control of the wave equation
12. Model of diffusive waves in viscoelasticity based on fractional calculus
13. Wright functions as scale-invariant solutions of the diffusion-wave equation
14. A general solution for the fourth-order fractional diffusion-wave equation
15. A general solution for a fourth-order fractional Diffusion-wave equation defined in a bounded domain
16. Boundary value problems for fractional Diffusion equations
17. Fractional diffusion based on Riemann-Liouville fractional derivatives
18. Fractional calculus: Integral and differential equations of fractional order
19. Applications of fractional calculus to dynamic problems of linear and nonlinear hereditary mechanics of solids
20. An introduction to fractional calculus