Modified Riemann−Liouville Fractional Derivative and Differential Equation for a Class of New Levy-type Probabilities

Authors

  • Mohd. Farman Ali School of Mathematics and Allied Sciences, Jiwaji University, Gwalior
  • Manoj Sharma Department of Mathematics RJIT, BSF Academy, Tekanpur
  • Renu Jain School of Mathematics and Allied Sciences, Jiwaji University, Gwalior

DOI:

https://doi.org/10.37591/rrdms.v1i3.303

Keywords:

Modified Riemann-Liouville fractional derivative operator, differential equation, probability density function

Abstract

The aim of the present paper to obtained the solution of differential equations involving Modified Riemann-Liouville fractional derivative in addition to it Levy-type one sided probability density function. Some scientist studied a small number of interesting problems regarding diffusing processes in media with fractal geometry, and formulated fractional diffusion.

References

Feller W. An Introduction to Probability Theory and its Applications. New York: Wiley; 1971.

Montroll E W, Shlesinger M F, Proc. Natl. Acad. Sci. USA79. 1982, 3382.

Oldham KB, Spenier J. The Fractional Calculus. New York: Academic; 1974.

Seshadri V and West B J, Proc. Natl. Acad. Sci USA. 1982; 79: 4501.

Schneirder WR, Lecture Notes in Physics. 1986; 262: 497.

Nonnenmacher T F, Nonnenmacher DJF. Phys. Lett. 1989; 140A: 323p.

West B J, Bargava V, Goldberger AL. J. Appl. Physoil. 1986; 60: 1089.

Nonnenmacher T F Eur. Biophys. J. 1989; 16: 375p.

Speigel M R. Laplace Transformationen; New York: McGraw-Hill; 1977.

Nigmatullin RR. Phys Status Solidi. 1986; B 133: 425p.

Wyss W, J. Math. Phys. 1986; 27: 2782p.

Nonnenmacher T F, Nonnenmacher D J F. Acta Physica Hungarica 1989; 66: 147p.

Nonnenmacher T F J. Phys A: Math. Gen. 1990; 23: L697S-L700S.

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Published

2015-04-28

Issue

Vol. 1 No. 3 (2014)

Section

Research Articles

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