Opial–type L p –Inequalities for Riemann—Liouville Fractional Derivatives

George A. Anastassiou ()
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George A. Anastassiou: University of Memphis, Department Mathematical Sciences

Chapter 5 in Fractional Differentiation Inequalities, 2009, pp 53-65 from Springer

Abstract: This chapter presents a class of L p -type Opial inequalities for generalized Riemann—Liouville fractional derivatives of integrable functions. The novelty of this approach is the use of the index law for fractional derivatives instead of a Taylor’s formula, which enables us to relax restrictions on the orders of fractional derivatives. This treatment relies on [65].

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-387-98128-4_5

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DOI: 10.1007/978-0-387-98128-4_5

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