Home| Journals | Statistics Online Expert | About Us | Contact Us
    About this Journal  | Table of Contents
Untitled Document

[Abstract] [PDF] [HTML] [Linked References]

International Journal of Statistika and Mathematika, ISSN: 2277- 2790 E-ISSN: 2249-8605

Volume 4, Issue 3, 2013 pp 90-92

Research Article

On The Solution of Fractional Kinetic Equation

 

Chena Ramand Palu Choudhary

Department of Mathematics and Statistics, Jai Narain Vyas University, Jodhpur-342005, Rajasthan, INDIA.


Academic Editor: Dr. Dase R.K.

 

Linked References
    1. B.N., Al-saqabi and V.K. Tuan, Solution of a Fractional Differential Equation, Integral Transf. Spec.Funct.4(4) (1966), 321-326.
    2. M.M. Dzherbashyan, Integral Transforms and representations of Function in Complex     Domain (Russian) , Nauka , Moscow  (1966).
    3. M.M. Dzherbashyan, Harmonic Analysis and Boundary Value Problem in the Complex Domain, Birkhaüser – Verlag ,Basel (1993).
    4. A.Erdélyi, W. magnus, F. Oberhettinger and F.G.Tricomi, Tables of Integral Transform, Vol.II, Mcgraw-Hill, NewYork(1954).
    5. A.Erdélyi, W. magnus, F. Oberhettinger and F.G.Tricomi, Higher Transcendental function, Vol.I, Mcgraw-Hill,NewYork-Toronto-London (1953).
    6. A.Erdélyi, W. magnus, F. Oberhettinger and F.G.Tricomi, Higher Transcendental function, Vol.III, Mcgraw-Hill,NewYork-Toronto-London (1955).
    7. W.G.Glöckle and T.F. Nonnenmacher , Fractional Integral Operators and Fox Function in the Theory of Viscoelasticity, Macromolecules 24(1991),6426-6434.
    8. H.J.Houbold and A.M.Mathai,The Fractional Kinetic Equation and Thermonuclear Functions, Astrophys.Space Sci.273(2000),53-63.
    9. R.Gorenflo and F.Mainardi, On Mittag-Leffler Function in Fractional Evolution, J.Comput . Appl.Math.,118(2000),283-299.
    10. R.Hilfer(Ed.) , Applications of Fractional Calculus in Physics, World Scientific Publishing  Co.,NewYork (2000).
    11. E.Hille and J.D. Tamarkin, On the Theory of Linear Integral Equations, Ann.Math.31(3), (1930),479-528.
    12. A.A.Kilbas, H.M. Srivastava and J.J. Trujillo, Theory and Applications of Fractional Differential Equations, North-holland Mathematics Studies,204, Elsevier, Amsterdam (2006).
    13. V.Kiryakova , Generalized Fractional calculus and Applications, John Wiley, NewYork (1994).
    14. K.S.Miller and B.Ross, An Introduction to Fractional calculus and Fractional Differential Equations, John Wiley, NewYork (1993).
    15. G.M.Mittag-Leffler , Sur la nouvelle function,C.R.Acad.Sci.Paris 137(1903),554-558.
    16. K.B.Oldham and J.Spanier , The Fractional Calculus ,Acad. Press, NewYork (1974).
    17. I.Podlubny, Fractional Differential Equations, Acad.Press , SanDiego (1999).
    18. T.R.Prabhakar, A Singular Integral Equation with a Generalized Mittag-Leffler Function in Kernel, Yokohama.Math.J.19,(1971),7-15.
    19. E.D. Rainville , Special Functions ,Macmillan – NewYork (1960).
    20. A.Saichev and M. Zaslavsky , Fractional Kinetic Equations: solutions and Applications, chaos, 7(4)(1997),753-764.
    21. R.K.Saxena ,A.M. Mathai and H.J.Haubold, On Fractional Kinetic Equations , Astrophys. Space Sci. 282(2002),281-287.
    22. R.K.Saxena , A.M. Mathai and  H.J.Haubold, On Generalized Fractional Kinetic Equations ,Physica A 344(2004),653-664.
    23. R.K.Saxena , A.M. Mathai and H.J.Haubold , Unified Fractional Kinetic Equation and a Fractional Diffusion Equation, Astrophys.Space Sci.290 (3/4) (2004),299-310.
    24. R.K.Saxena and S.L.Kalla , On The Solution of Certain Fractional Kinetic Equations.Appl. Math. And Comput. 199(2008),504-511.
    25. A.K. Shukla and J.C. Prajapati, On Generalized of Mittag-Leffler Function and its Properties, J.Math. Anal.Appl.336,(2007) 797-811.
    26. H.M. Srivastava and R.K. Saxena , Operators of Fractional Integration and their Application, Appl. Math. Comput. 118(2001), 1-52.
    27. A.Wiman, Über den Fundamental in der theorie der funktionen (x) , Acta.Math. 29(1905) 191-201.
    28. G.M. Zaslavsky , Fractional Kinetic Equation for Hamiltonian Chaos, Physica D 78 (1-3) (1994)110-122.
 
 
 
 
 
  Copyrights statperson consultancy www

Copyrights statperson consultancy www.statperson.com  2013. All Rights Reserved.

Developer Details