Open Access
Subscription Access
Open Access
Subscription Access
New Approach to Minkowski Fractional Inequalities Using Generalized K-Fractional Integral Operator
Subscribe/Renew Journal
In this paper, we obtain results related to Minkowski fractional integral inequality using generalized k-fractional integral operator is in terms of the Gauss hypergeometric function.
Keywords
Minkowski Fractional Integral Inequality, Generalized k-Fractional Integral Operator and Gauss Hypergeometric Function.
Subscription
Login to verify subscription
User
Font Size
Information
- D. Baleanu, S. D. Purohit and P. Agarwal, On fractional integral inequalities involving hypergeometric operators, Chinese Journal of Mathematics Volume 2014, Article ID 609476, 5 pages.
- V.L. Chinchane and D. B. Pachpatte, Some new integral inequalities using Hadamard fractional integral operator, Adv. Inequal. Appl. 2014, 2014:12.
- V.L. Chinchane and D. B. Pachpatte, New fractional inequalities via Hadamard fractional integral, Internat. J. Functional Analyisis, Operator Theory and Application, 5(3)(2013), 165-176.
- V.L. Chinchane and D. B. Pachpatte, On some new Gruss-type inequality using Hadamard fractional integral operator, J. Fractional Calculus Appl. Vol. 5(3S) No. 12 (2014) pp. 1-10.
- V.L. Chinchane, On Chebyshev type inequalities using generalized k-fractional integral operator, Progr. Fract. Dier. Appl., 3(3)(2017), 1-8.
- S.Kilinc and H.Yildirim, Generalized fractional integral inequalities involving Hypergeometic operators, International Journal of Pure and Applied Mathematics, 101(1)(2015), 71-82.
- K.S. Miller and B. Ross, Fractional Calculus and Fractional Dierential Equations, Gordon and Breach, New York (1993).
- S. Mubeen and S. Iqbal, Gruss type integral inequalities for generalized RiemannLiouville k-fractional integrals, Journal of Inequalities and Application, (2016), 2016:109. DOI 10.1186/s13660-016-1052-x.
- M. Saigo, A remark on integral operators involving the Gauss hypergeometric functions, Math. Rep.Kyushu Univ., 11(1978), 135-143.
- H. Yildirim and Z. Kirtay, Ostrowski inequality for generalized fractional integral and related equalities, Malaya J. Math., 2(3)(2014), 322-329.
Abstract Views: 357
PDF Views: 3