IJPAM: Volume 83, No. 5 (2013)

SOLUTION OF GENERALIZED SPACE-TIME FRACTIONAL
TELEGRAPH EQUATION WITH COMPOSITE AND
RIESZ-FELLER FRACTIONAL DERIVATIVES

Mridula Garg1, Ajay Sharma2, Pratibha Manohar3
1Department of Mathematics
University of Rajasthan
Jaipur-302004, Rajasthan, India
2Department of Mathematics
University of Engineering and Management
Jaipur, 303807, Rajasthan, INDIA
3Department of Statistics
SKN College of Agriculture
Jobner, 303329, SKRAU, Rajasthan, INDIA

Proceedings of
NCRTMSA - 2012


Abstract. We consider space-time fractional telegraph equation with composite fractional derivative in respect of time and Riesz-Feller fractional derivative in respect of space. We obtain Fourier transform of the solution in closed form in terms of Mittag-Leffler functions.

Received: January 10, 2013

AMS Subject Classification: 33E12, 26A33

Key Words and Phrases: composite fractional derivative, laplace transform, Fourier transform, fractional telegraph equation, Mittag-Leffler function, Riesz-Feller fractional derivative

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DOI: 10.12732/ijpam.v83i5.12 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 83
Issue: 5