Advanced Computable Extension of New Fractional Kinetic Equation

Authors

  • Manoj Sharma Department of Mathematics RJIT, BSF Academy, Tekanpur, Address
  • A. Tyagi

DOI:

https://doi.org/10.37591/rrdms.v4i3.1265

Abstract

Abstract

The aim of this work is to find advanced computable extension of kinetic equation with fractional calculus approach. Fractional calculus originated in 1695, shortly after the inversion of classical calculus. The pioneer researchers who studied it were Liouville, Riemann, Leibniz, etc. For a long time, fractional calculus has been regarded as a pure mathematical area without applications. But, in recent decades, such type of synergism has been changed. It has been found that fractional calculus can be useful and even a powerful tool and a précis of the simple information about fractional calculus and its applications can be found in literature. The first use of a derivative of non-integer order is credited to the French mathematician S. F. Lacroix in 1819 who expressed the derivative of non-integer order in terms of Legendre’s factorial symbol G.

Mathematics Subject Classification: 33C60, 33E12, 82C31, 26A33.

Keywords: Fractional kinetic equation, new modified generalized function, Riemann-Liouville operator, Laplace transform, modified Riemann-Liouville fractional derivative operator, differential equation

Cite this Article

Sharma M, Tyagi A. Advanced Computable Extension of New Fractional Kinetic Equation. Research & Reviews: Discrete Mathematical Structures. 2017; 4(3): 74–80p.


Downloads

Published

2018-01-22

Issue

Vol. 4 No. 3 (2017)

Section

Research Articles

License

Declaration and Copyright Transfer Form

(to be completed by authors)

I/ We, the undersigned author(s) of the submitted manuscript, hereby declare, that the above manuscript which is submitted for publication in the STM Journals(s), is not published already in part or whole (except in the form of abstract) in any journal or magazine for private or public circulation, and, is not under consideration of publication elsewhere.

  • I/We will not withdraw the manuscript after 1 week of submission as I have read the Author Guidelines and will adhere to the guidelines.
  • I/We Author(s ) have niether given nor will give this manuscript elsewhere for publishing after submitting in STM Journal(s).
  • I/ We have read the original version of the manuscript and am/ are responsible for the thought contents embodied in it. The work dealt in the manuscript is my/ our own, and my/ our individual contribution to this work is significant enough to qualify for authorship.
  •  I/We also agree to the authorship of the article in the following order:

Author’s name                                    

 

1. ________________

2. ________________

3. ________________

4. ________________

 

We  Author(s) tick this box and would request you to consider it as our signature as we agree to the terms of this Copyright Notice, which will apply to this submission if and when it is published by this journal.