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In this paper, we aim at establishing a generalized fractional integral version of Gr\"uss type integral inequality by making use of the Gauss hypergeometric function fractional integral operator. Our main result, being of a very general character, is illustrated to specialize to yield numerous interesting fractional integral inequalities including some known results.
#amma function
#Gruss integral inequality and Gruss type integral inequalities
#Gauss hypergeometric function
#Saigo
#Erd'elyi-Kober and Riemann-Liouville type fractional integral operators{Gamma function
#Gruss integral inequality and Gruss type integral inequalities
#Gauss hypergeometric function
#Saigo
#Erd'elyi-Kober and Riemann-Liouville type fractional integral operators
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참고문헌 (26)
참고문헌 신청
A. Atangana / 2013 / A note on fractional order derivatives and table of fractional derivatives of some special functions / Abstr. Appl. Anal : 8 ~
A. Atangana / 2013 / The use of fractional order derivative to predict the groundwater flow / Math. Probl. Eng : 9 ~
A. Atangana / 2014 / A novel integral operator transform and its application to some FODE and FPDE with some kind of singularities / Math. Probl. Eng : 7 ~
A. Debbouche / 2012 / Nonlocal nonlinear integrodifferential equations of fractional orders / Bound. Value Probl 78 : 10 ~
B. Gavrea / 2012 / Improvement of some inequalities of Ch
A. Atangana / 2013 / The use of fractional order derivative to predict the groundwater flow / Math. Probl. Eng : 9 ~
A. Atangana / 2014 / A novel integral operator transform and its application to some FODE and FPDE with some kind of singularities / Math. Probl. Eng : 7 ~
A. Debbouche / 2012 / Nonlocal nonlinear integrodifferential equations of fractional orders / Bound. Value Probl 78 : 10 ~
B. Gavrea / 2012 / Improvement of some inequalities of Ch
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