IJPAM: Volume 108, No. 2 (2016)
SOME INTEGRAL TRANSFORM OF GENERALIZED
MITTAG-LEFFLER FUNCTIONS
MITTAG-LEFFLER FUNCTIONS
Bhausaheb R. Sontakke
, Govind P. Kamble
, Mohd. Mazhar Ul-Haque
Department of Mathematics
Pratishthan College, Paithan
Dist: Aurangabad (M.S.), INDIA
Depatment of Mathematics
P.E.S. College of Engineering
Nagsenvana, Aurangabad (M.S.), INDIA
Dr. Babasaheb Ambedkar Marathwada University
Aurangabad (M.S.), INDIA




Pratishthan College, Paithan
Dist: Aurangabad (M.S.), INDIA

P.E.S. College of Engineering
Nagsenvana, Aurangabad (M.S.), INDIA

Aurangabad (M.S.), INDIA
Abstract. This paper presents integral transform of Generalized Mittag-Leffler function which plays an important role to solve the differential equations and also some relations and results related to this generalized Mittag-Leffler function. The generalized Mittag-Leffler function arises in the solution of fractional order differential equations and fractional order integral equations.
Received: March 10, 2016
Revised: March 10, 2016
Published: October 1, 2016
AMS Subject Classification: 26A33, 34K37, 34A08, 45E10, 47H10
Key Words and Phrases: Laplace transform, Fourier transform, Mittag-Leffler function, generalized Mittag-Leffler function, fractional differential equation, fractional integral equation
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DOI: 10.12732/ijpam.v108i2.9 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: 2016
Volume: 108
Issue: 2
Pages: 327 - 339
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