title: Certain fractional integral formulas involving the product of generalized Bessel functions.
abstract: We apply generalized operators of fractional integration involving Appell's function F 3(·) due to Marichev-Saigo-Maeda, to the product of the generalized Bessel function of the first kind due to Baricz. The results are expressed in terms of the multivariable generalized Lauricella functions. Corresponding assertions in terms of Saigo, Erdélyi-Kober, Riemann-Liouville, and Weyl type of fractional integrals are also presented. Some interesting special cases of our two main results are presented. We also point out that the results presented here, being of general character, are easily reducible to yield many diverse new and known integral formulas involving simpler functions.
authors.affiliation: Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia ; Department of Mathematics and Computer Sciences, Faculty of Art and Sciences, Cankaya University, Ankara, Turkey ; Institute of Space Sciences, P.O. Box MG-23, 76900 Magurele Bucharest, Romania.
authors.forename: D
authors.initials: D
authors.lastname: Baleanu
authors.affiliation: Department of Mathematics, Anand International College of Engineering, Jaipur 303012, India.
authors.forename: P
authors.initials: P
authors.lastname: Agarwal
authors.affiliation: Department of Basic-Sciences (Mathematics), College of Technology and Engineering, M.P. University of Agriculture and Technology, Udaipur 313001, India.
authors.forename: S D
authors.initials: SD
authors.lastname: Purohit
mesh_terms: D000465:Algorithms; D008962:Models, Theoretical