On the generalized Navier-Stokes equations

Applied Mathematics and Computation

Volumn 156, Issue 1, 2004, Pages 287-293

  El Shahed, Moustafa ^a   Salem, Ahmed ^a  

^a Misr University for Science and Technology   (Egypt)

Author keywords

Fractional calculus; Integral transforms; Mittage Leffler function; Poiseuille flow; Wright function

Indexed keywords

FOURIER TRANSFORMS; FUNCTIONS; INTEGRAL EQUATIONS; KINEMATICS; LAPLACE TRANSFORMS; MATHEMATICAL MODELS;

FRACTIONAL CALCULUS; INTEGRAL TRANSFORM; MITTAGE-LEFFLER FUNCTION; POISEUILLE FLOW; WRIGHT FUNCTION;

NAVIER STOKES EQUATIONS;

EID: 3843125240     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2003.07.022     Document Type: Article

References (7)

1. Agrawal O.P. A general solution for a fourth-order fractional diffusion-wave equation defined in a bounded domain. Computers and Structures. 79:2001;1497-1501.
2. Bansal J.L. Viscous Fluid Dynamics. 1977;Oxford.
3. Igor Podlubny J. Fractional Differential Equations. 1999;Academic Press, New York.
4. Sakakbira, Properties of vibration with fractional derivative damping of order. 1 2 JSME International Journal. 40:1997;339-399.
5. Sneddon I.N. Fourier Transforms. 1951;McGraw-Hill, New York.
6. Suarez L., Shokooh L. Response of systems with damping materials modeled using fractional calculus. Appl. Mech. Rev. 48:1995;S118-S126.
7. Suarez L., Shokooh L. An eigenvector expansion method for the solution of motion containing fractional derivatives. Journal of Applied Mechanics. 64:1997;629-635.