On the Solutions of Generalized Fractional Kinetic Equations involving the Functions for the Fractional Calculus

Kishan Sharma
Kishan Sharma
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Rajiv Gandhi Technical University Rajiv Gandhi Technical University

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On the Solutions of Generalized Fractional Kinetic Equations involving the Functions for the Fractional Calculus

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Abstract

The paper is devoted to the study of the solution of generalized fractional kinetic equations. Results are obtained in a compact form in terms of K4 -Function introduced by sharma [9]. The results obtained in this paper are the extensions of the results given earlier by believed to be new.

References

16 Cites in Article
  1. The Solutions of Generalized Fractional Kinetic Equations Involving the Functions for the Fractional Calculus.
  2. Keith Oldham,Jerome Spanier (1974). The Fractional Calculus; Theory and Applications of Differentiation and integration to Arbitrary Order.
  3. K Sharma (2012). On Application of Fractional Differintegral Operator to the K 4 -Function.
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  5. R Saxena,A Mathai,H Haubold (2002). On fractional kinetic equations.
  6. R Saxena,A Mathai,H Haubold (2004). On generalized fractional kinetic equations.
  7. R Saxena,A Mathai,H Haubold (2002). Unified Fractional Kinetic Equation and a Fractional Diffusion Equation.
  8. R Saxena,A Mathai,H Haubold (2010). Solutions of certain fractional kinetic equations and a fractional diffusion equation.
  9. R Saxena,S Kalla (2008). On the solutions of certain fractional kinetic equations.
  10. S Samko,A Kilbas,O Marichev (1990). Fractional Integrals and Derivatives. Theory and Applications.
  11. Vinod Chaurasia,Shared Pandey (2010). Computable extensions of generalized fractional kinetic equations in astrophysics.
  12. V Chaurasia,S Pandey (2008). On the new computable solution of the generalized fractional kinetic equations involving the generalized function for the fractional calculus and related functions.
  13. Vinod Chaurasia,Shared Pandey (2010). Computable extensions of generalized fractional kinetic equations in astrophysics.
  14. V Chaurasia,S Pandey (2008). Unknown Title.
  15. V Kourganoff (1973). Elementary Introduction to the Physics of Stellar Interiors.
  16. Walter Gloeckle,Theo Nonnenmacher (1991). Fractional integral operators and Fox functions in the theory of viscoelasticity.
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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Kishan Sharma. 1970. \u201cOn the Solutions of Generalized Fractional Kinetic Equations involving the Functions for the Fractional Calculus\u201d. Unknown Journal GJSFR Volume 11 (GJSFR Volume 11 Issue 6).

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  • CC-BY-ND-NC 4.0
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Journal Specifications
Keywords
fractional calculusFractional kinetic equationsK4- FunctionLalace transformMittag-Leffler functionSpecial functions
  • Submission ReceivedJuly 26, 2011
  • Peer Review Double Blind
    Handling Editor
  • Accepted August 17, 2011
  • Published August 27, 2011
Version of record

v1.2

Issue date
September 7, 2011

Language
en
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On the Solutions of Generalized Fractional Kinetic Equations involving the Functions for the Fractional Calculus

Kishan Sharma
Kishan Sharma <p>Rajiv Gandhi Technical University</p>
  • Submission ReceivedJuly 26, 2011
  • Peer Review Double Blind
    Handling Editor
  • Accepted August 17, 2011
  • Published August 27, 2011

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