IJPAM: Volume 93, No. 5 (2014)

A STUDY OF SAIGO-MAEDA FRACTIONAL OPERATORS
WITH GENERALIZED K-WRIGHT FUNCTION

Kantesh Gupta$^1$, Meena Kumari Gurjar$^2$, Jyotindra C. Prajapati$^3$
$^{1,2}$Department of Mathematics
Malaviya National Institute of Technology
Jaipur, 302017, Rajasthan, INDIA
$^3$Department of Mathematical Sciences
Faculty of Applied Sciences, Charotar
University of Science and Technology
CHARUSAT, Changa, Anand, 388421, Gujarat, INDIA


Abstract. In this paper, we further study the generalized fractional integral and differential operators involving Appell's function $F_{3} \left( {\,.\,} \right)_{\mathrm{\thinspace }}$due to Saigo-Maeda [11]. During the course of our study, we obtain the images of the generalized K-Wright function in our operators. On account of the most general nature of our results, a large number of results obtained earlier by several authors such as Gehlot and Prajapati [3], Purohit et al. [10], Gupta and Gupta [4], Kilbas and Sebestian [7,8,9], Gupta and Gurjar [5], Kilbas [6] follow as special cases of our main findings.

Received: March 29, 2014

AMS Subject Classification: 26A33, 33B15, 33C10, 33C20

Key Words and Phrases: Saigo-Maeda fractional operators, Generalized K-Wright function, K-Gamma function, Bessel function

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DOI: 10.12732/ijpam.v93i5.10 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 93
Issue: 5
Pages: 715 - 728

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).