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

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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

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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.

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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.",

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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.

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