Opial–Type Inequalities for Functions and Their Ordinary and Canavati Fractional Derivatives

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

Chapter 2 in Fractional Differentiation Inequalities, 2009, pp 7-22 from Springer

Abstract: Several L p -form Opial-type inequalities [315] are presented involving functions and their ordinary and generalized fractional derivatives. The above follow a generalization of Taylor’s formula for generalized fractional derivatives. The chapter ends with the application of the derived inequalities in proving the uniqueness of solution/upper bound to the solution of some known very general fractional differential equations. This treatment is based on [18].

Date: 2009
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DOI: 10.1007/978-0-387-98128-4_2

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