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Mathematical Problems in Engineering
Volume 2016 (2016), Article ID 9560346, 8 pages
http://dx.doi.org/10.1155/2016/9560346
Research Article

Composition Formulas of Bessel-Struve Kernel Function

1Department of Mathematics, College of Arts and Science, Prince Sattam Bin Abdulaziz University, P.O. Box 54, Wadi Al-Dawasir 11991, Saudi Arabia
2Department of Mathematics & Statistics, College of Science, King Faisal University, P.O. Box 400, Hofuf, Al-Ahsa 31982, Saudi Arabia
3Department of Mathematics, Anand International College of Engineering, Jaipur, India

Received 30 December 2015; Accepted 24 February 2016

Academic Editor: José A. T. Machado

Copyright © 2016 K. S. Nisar et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The object of this paper is to study and develop the generalized fractional calculus operators involving Appell’s function due to Marichev-Saigo-Maeda. Here, we establish the generalized fractional calculus formulas involving Bessel-Struve kernel function to obtain the results in terms of generalized Wright functions. The representations of Bessel-Struve kernel function in terms of exponential function and its relation with Bessel and Struve function are also discussed. The pathway integral representations of Bessel-Struve kernel function are also given in this study.