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

In: Fractional Differentiation Inequalities

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  • George A. Anastassiou

    (University of Memphis, Department Mathematical Sciences)

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].

Suggested Citation

  • George A. Anastassiou, 2009. "Opial–type L p –Inequalities for Riemann—Liouville Fractional Derivatives," Springer Books, in: Fractional Differentiation Inequalities, chapter 5, pages 53-65, Springer.
    • Handle: RePEc:spr:sprchp:978-0-387-98128-4_5
    DOI: 10.1007/978-0-387-98128-4_5
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