논문KCI 등재
Extended generalized Mittag-Leffler function applied on fractional integral inequalities
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This paper presents several fractional generalizations and extensions of known integral inequalities. To obtain these, an extended generalized Mittag-Leffler function and its fractional integral operator are used.
Abstract
This paper presents several fractional generalizations and extensions of known integral inequalities. To obtain these, an extended generalized Mittag-Leffler function and its fractional integral operator are used.
참고문헌 (12)
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- A. A. Kilbas, "Theory and Applications of Fractional Differential Equations" (2006), Elsevier Science B.V.
- W. Liu, "Several interesting integral inequalities", J. Math. Inequal, 3(2), pp.201~212 (2009)[DOI]
- K. S. Nisar, "Fractional integrations of a generalized Mittag-Leffler type function and its application", Mathematics, 7(12), pp.1230~ (2019)[DOI]
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- T. R. Prabhakar, "A singular integral equation with a generalized Mittag Leffler function in the kernel", Yokohama Math. J, 19, pp.7~15 (1971)
- G. Rahman, "The extended Mittag-Leffler function via fractional calculus", J. Nonlinear Sci. Appl, 10(8), pp.4244~4253 (2017)[DOI]
- T. O. Salim, "A generalization of Mittag-Leffler function and integral operator associated with fractional calculus", J. Fract. Calc. Appl, 3(5), pp.1~13 (2012)
- A. K. Shukla, "On a generalization of Mittag-Leffler function and its properties", J. Math. Anal. Appl, 336(2), pp.797~811 (2007)[DOI]
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