Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 451-466 |
| Number of pages | 16 |
| Journal | Journal of Nonlinear Science and Applications (JNSA) |
| Volume | 8 |
| Issue number | 5 |
| Publication status | Published - 2015 |
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Extended Riemann-Liouville fractional derivative operator and its applications. / Agarwal, Praveen; Choi, Junesang; Paris, Richard B.
In: Journal of Nonlinear Science and Applications (JNSA), Vol. 8, No. 5, 2015, p. 451-466.Research output: Contribution to journal › Article
TY - JOUR
T1 - Extended Riemann-Liouville fractional derivative operator and its applications
AU - Agarwal, Praveen
AU - Choi, Junesang
AU - Paris, Richard B.
PY - 2015
Y1 - 2015
N2 - Many authors have introduced and investigated certain extended fractional derivative operators. The main object of this paper is to give an extension of the Riemann-Liouville fractional derivative operator with the extended Beta function given by Srivastava et al. [22] and investigate its various (potentially) useful and (presumably) new properties and formulas, for example, integral representations, Mellin transforms, generating functions, and the extended fractional derivative formulas for some familiar functions.
AB - Many authors have introduced and investigated certain extended fractional derivative operators. The main object of this paper is to give an extension of the Riemann-Liouville fractional derivative operator with the extended Beta function given by Srivastava et al. [22] and investigate its various (potentially) useful and (presumably) new properties and formulas, for example, integral representations, Mellin transforms, generating functions, and the extended fractional derivative formulas for some familiar functions.
M3 - Article
VL - 8
SP - 451
EP - 466
JO - Journal of Nonlinear Science and Applications
JF - Journal of Nonlinear Science and Applications
SN - 2008-1898
IS - 5
ER -