Converting fractional differential equations into partial differential equations

Thermal Science

Volumn 16, Issue 2, 2012, Pages 331-334

  He, Ji Huan ^a   Li, Zheng Biao ^b  

^a SOOCHOW UNIVERSITY   (China)

^b QUJING NORMAL UNIVERSITY   (China)

Author keywords

Fractional KdV equation; Modified riemann Liouville derivative; Time fractional heat conduction equation

Indexed keywords

HEAT CONDUCTION; LIOUVILLE EQUATION; PARTIAL DIFFERENTIAL EQUATIONS;

A-TRANSFORM; FRACTIONAL DIFFERENTIAL EQUATIONS; FRACTIONAL HEAT CONDUCTION EQUATIONS; FRACTIONAL KDV EQUATION; FRACTIONAL ORDER; KDV EQUATION; MODIFIED RIEMANN-LIOUVILLE DERIVATIVE; TIME-FRACTIONAL HEAT CONDUCTION EQUATION;

FRACTAL DIMENSION;

EID: 84868613849     PISSN: 03549836     EISSN: None     Source Type: Journal    
DOI: 10.2298/TSCI110503068H     Document Type: Article

References (7)

1. Li, Z. B., He, J. H., Fractional Complex Transform for Fractional Differential Equations, Mathematical and Computational Applications, 15 (2010), 5, pp. 970-973
2. Li, Z. B., An Extended Fractional Complex Transform, Journal of Nonlinear Science and Numerical Sim-ulation, 11 (2010), Suppl., pp. 0335-0337?
3. Jumarie, G., Cauchy's Integral Formula via the Modified Riemarm-Liouville Derivative for Analytic Functions of Fractional Order, Applied Mathematics Letters, 23 (2010), 12, pp. 1444-1450
4. Jumarie, G., Fractional Partial Differental Equations and Modified Riemann-Liouville Derivative New Methods for Solution, Journal of Applied Mathematics and Computing, 24 (2007), 1, pp. 31-48
5. Jumarie, G., Modified Riemarm-Liouville Derivative and Fractional Taylor Series of Non-Differentiable Functions Further Results, Computers and Mathematics with Applications, 51 (2006), 9-10, pp. 1367-1376
6. He, J.-H., Analytical Methods for Thermal Science - An Elementary Introduction, Thermal Science, 15 (2011), Suppl., 1, pp. SI-S3
7. He, J.-H., A New Fractal Derivation, Thermal Science, 15 (2011), Suppl., 1, pp. S145-S147