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General Fractional Opial Type Inequalities
Authors:George A Anastassiou
Institution:(1) Department of Mathematical Sciences, University of Memphis, Memphis, TN, 38152, U.S.A.
Abstract:A large variety of Lp(p 0) form very general Opial type inequalities arepresented engaging different order generalized fractional derivatives of a function. These arebased on a generalization of Taylorrsquos formula for generalized fractional derivatives. In the finalresults of this work, a monotonicity property of the involved function/highest-order generalizedfractional derivative is used.
Keywords:Opialrsquos inequality" target="_blank">gif" alt="rsquo" align="BASELINE" BORDER="0">s inequality  fractional derivative  Lp estimate
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