CONCORDANCE OF DYNAMIC FRACTIONAL INEQUALITIES INTERCONNECTED ON TIME SCALES

CONCORDANCE OF DYNAMIC FRACTIONAL INEQUALITIES INTERCONNECTED ON TIME SCALES

M. J. S. Sahir

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Abstract

In this work, we present an extension of dynamic reverse Minkowski's inequality by using the time scale Riemann{Liouville type fractional integrals. By using the de nitions of delta and nabla time scales Riemann{Liouville type fractional integral operators, we  nd other general dynamic fractional inequalities. Our  ndings unify and extend some continuous, discrete and quantum analogues.

Keywords

Time scales, the time scales Riemann{Liouville type fractional integrals, reverse Minkowski's inequality.