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During the past four decades or so, due mainly to a wide range of applications from natural sciences to social sciences, the so-called fractional calculus has attracted an enormous attention of a large number of researchers. Many fractional calculus operators, especially, involving various special functions, have been extensively investigated and widely applied. Here, in this paper, in a systematic manner, we aim to establish certain image formulas of various fractional integral operators involving diverse types of generalized hypergeometric functions, which are mainly expressed in terms of Hadamard product. Some interesting special cases of our main results are also considered and relevant connections of some results presented here with those earlier ones are also pointed out.
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참고문헌 (62)
참고문헌 신청
L. C. Andrews / 1985 / Special Functions for Engineers and Applied Mathematicians / Macmillan Company
P. Agarwal / 2012 / Further results on fractional calculus of Saigo operators / Appl. Appl. Math 7(2):585~594
P. Agarwal / 2012 / Generalized fractional integration of the H-function / Matematiche 67(2):107~118
P. Agarwal / 2013 / Fractional integration of the product of two multivariables H-function and a general class of polynomials, in: Advances in Applied Mathematics 161 and Approximate Theory / Springer Proceedings in Mathematics and Statistics 162 41:359~374
P. Agarwal / 2015 / Extended Riemann-Liouville fractional derivative operator and its applications / J. Nonlinear Sci. Appl 8(5):451~466
P. Agarwal / 2012 / Further results on fractional calculus of Saigo operators / Appl. Appl. Math 7(2):585~594
P. Agarwal / 2012 / Generalized fractional integration of the H-function / Matematiche 67(2):107~118
P. Agarwal / 2013 / Fractional integration of the product of two multivariables H-function and a general class of polynomials, in: Advances in Applied Mathematics 161 and Approximate Theory / Springer Proceedings in Mathematics and Statistics 162 41:359~374
P. Agarwal / 2015 / Extended Riemann-Liouville fractional derivative operator and its applications / J. Nonlinear Sci. Appl 8(5):451~466
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