Hardy-Type Inequalities for an Extension of the Riemann- Liouville Fractional Derivative Operators
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Authors: S. IQBAL, G. FARID, J. PECARIC AND A. KASHURI
DOI: 10.46793/KgJMat2105.797I
Abstract:
In this paper we present variety of Hardy-type inequalities and their refinements for an extension of Riemann-Liouville fractional derivative operators. Moreover, we use an extension of extended Riemann-Liouville fractional derivative and modified extension of Riemann-Liouville fractional derivative using convex and monotone convex functions. Furthermore, mean value theorems and n-exponential convexity of the related functionals is discussed.
Keywords:
Inequalities, convex functions, Riemann-Liouville fractional derivative.
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