Analytical Treatment for Solving a Class of Non Linear Fractional Differential Equations

Authors

  • Das D Department of Mathematics, Ghani Khan Choudhury Institute of Engineering and Technology, Narayanpur, Malda, West Bengal-732141, India

DOI:

https://doi.org/10.26438/ijcse/v7i6.249254

Keywords:

Fractional differential equations, Caputo fractional derivative, Generalized Differential transform method, Analytic solution

Abstract

In the present paper, generalized differential transform method is used for obtaining the approximate analytic solutions of non-linear partial differential equations of fractional order. The fractional derivatives are described in the Caputo sense.

References

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[7] M.Caputo,”Linear models of dissipation whose q is almost frequency independent-ii”, Geophys J. R. Astron. Soc,Vol.13,pp.529-539,1967.

[8] I,Podlubny,”Fractional differential equations: An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications”,Academic Press,1999.

[9] R.Almeida,D.F.Torres,”Necessary and sufficient conditions for the fractional calculus of variations with caputo derivatives”, Communications in Nonlinear Science and Numerical Simulation,Vol.16,pp.1490-1500,2011.

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Published

2019-06-30
CITATION
DOI: 10.26438/ijcse/v7i6.249254
Published: 2019-06-30

How to Cite

[1]
D. Das, “Analytical Treatment for Solving a Class of Non Linear Fractional Differential Equations”, Int. J. Comp. Sci. Eng., vol. 7, no. 6, pp. 249–254, Jun. 2019.

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Section

Research Article