Extension of the Fractional Derivative Operator of the Riemann-Liouville
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Date
2017
Journal Title
Journal ISSN
Volume Title
Publisher
int Scientific Research Publications
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 10%
Influence
Top 10%
Popularity
Top 10%
Abstract
By using the generalized beta function, we extend the fractional derivative operator of the Riemann-Liouville and discusses its properties. Moreover, we establish some relations to extended special functions of two and three variables via generating functions. (C) 2017 All rights reserved.
Description
Salahshour, Soheil/0000-0003-1390-3551; Agarwal, Praveen/0000-0001-7556-8942
Keywords
Generating Functions, Hypergeometric Function Of Two And Three Variables, Fractional Derivative Operator, Mellin Transform, Classical hypergeometric functions, \({}_2F_1\), generating functions, Confluent hypergeometric functions, Whittaker functions, \({}_1F_1\), hypergeometric function of two and three variables, fractional derivative operator, Mellin transform
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Baleanu, Dumitru...et al. (2017).
Extension of the fractional derivative operator of the Riemann-Liouville, Journal of Nonlinear Sciences And Applications, 10(6), 2914-2924.
WoS Q
Scopus Q
OpenCitations Citation Count
15
Source
The Journal of Nonlinear Sciences and Applications
Volume
10
Issue
6
Start Page
2914
End Page
2924
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Citations
CrossRef : 1
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Web of Science™ Citations
27
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