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Approximations to the Solution of R-L Space Fractional Heat Equation in Terms of Kummers Hyper Geometric Functions by Using Fourier Transform Method: A New Approach

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Abstract:

The purpose of this paper is to give applications of Fourier Transform to solve the Riemann – Liouville Space Fractional Heat equation by using Fourier Transform Method approximated by Kummers Hyper geometric functions.

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Periodical:
International Journal of Advanced Research in Mathematics (Volume 5)
Pages:
32-34
Citation:
S.D. Manjarekar and A.P. Bhadane, "Approximations to the Solution of R-L Space Fractional Heat Equation in Terms of Kummers Hyper Geometric Functions by Using Fourier Transform Method: A New Approach", International Journal of Advanced Research in Mathematics, Vol. 5, pp. 32-34, 2016
Online since:
June 2016
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References:

[1] A.A. Kilbas, H.M. Srivastava, J.J. Trujillo, Theory and Applications of Fractional Differential Equations, North – Holland Mathematics Studies, 204, Elsevier Science Publishers, Amsterdam, Heidelberg and New York, (2006).

[2] David Vernon Widder , The Laplace Transform, (1946).

[3] I. Podlubny, Fractional differential equations, Academic Press, San Diego, (1999).

[4] Leibnitz, MathematischeSchiften, George olmsverlags buchhandlung, Hilde-scheim, (1962).

[5] Y.F. Luchko, H. Martinez and J.J. Trujillo, Fractional Fourier transform and some of its Applications, fractional Calculus and Applied analysis, An International Journal for Theory and Applications, Volume 11, 4(2008).

[6] Oldham and Spainer, The fractional calculus, Theory and Applications of differentiation and integration to arbitrary order, Dover Publication, (2006).

[7] H. M. Ozaktas, Z. Zalevsky, M.A. Kutay, The Fractional Fourier Transform with Applications in Optics and Signal processing, J. Wiley Publication, (2001).

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