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ADVANCED AND APPLIED SCIENCES

EISSN: 2313-3724, Print ISSN:2313-626X

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 Volume 5, Issue 10 (October 2018), Pages: 28-34

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 Original Research Paper

 Title: Caputo MSM fractional differentiation of extended Mittag-Leffler function

 Author(s): Aneela Nadir *, Adnan Khan

 Affiliation(s):

 Department of Mathematics, National College of Business Administration and Economics (NCBAandE), Lahore, Pakistan

 https://doi.org/10.21833/ijaas.2018.10.005

 Full Text - PDF          XML

 Abstract:

Recently, many researchers are interested in the investigation of an extended form of special functions like Gamma function, Beta function, Gauss hypergeometric function, Confluent hypergeometric function and Mittag-Leffler function etc. Here, in this paper, the main objective is to find the composition of Caputo MSM fractional differential of the extended form of Mittag-Leffler function in terms of extended Beta function. Further, in this sequel, some corollaries and consequences are shown that are the special case of our main findings. 

 © 2018 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords: Extended Mittag-Leffler function, Caputo MSM fractional different-ion, Hadmard product

 Article History: Received 28 April 2018, Received in revised form 29 July 2018, Accepted 5 August 2018

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2018.10.005

 Citation:

  Nadir A and Khan A (2018). Caputo MSM fractional differentiation of extended Mittag-Leffler function. International Journal of Advanced and Applied Sciences, 5(10): 28-34

 Permanent Link:

 http://www.science-gate.com/IJAAS/2018/V5I10/Aneela.html

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