Extended Riemann-Liouville fractional derivative operator and its applications

Praveen Agarwal; Junesang Choi; Richard B. Paris

Extended Riemann-Liouville fractional derivative operator and its applications

Praveen Agarwal, Junesang Choi, Richard B. Paris

Research output: Contribution to journal › Article

35 Citations (Scopus)

274 Downloads (Pure)

Abstract

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.

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

Access to Document

Paris_ExtendedRiemann-LiouvilleFractionalDerivativeOperator_Published_2015Final published version, 388 KB

Fingerprint Dive into the research topics of 'Extended Riemann-Liouville fractional derivative operator and its applications'. Together they form a unique fingerprint.

Cite this

Agarwal, P., Choi, J., & Paris, R. B. (2015). Extended Riemann-Liouville fractional derivative operator and its applications. Journal of Nonlinear Science and Applications (JNSA), 8(5), 451-466.

@article{94369af84e8547e98393b722edbca9b3,

title = "Extended Riemann-Liouville fractional derivative operator and its applications",

abstract = "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.",

author = "Praveen Agarwal and Junesang Choi and Paris, {Richard B.}",

year = "2015",

language = "English",

volume = "8",

pages = "451--466",

journal = "Journal of Nonlinear Science and Applications",

issn = "2008-1898",

publisher = "International Scientific Research Publications",

number = "5",

}

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 -