Canavati Fractional Opial–Type Inequalities and Fractional Differential Equations

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

Chapter 3 in Fractional Differentiation Inequalities, 2009, pp 23-39 from Springer

Abstract: A series of very general Opial-type inequalities [315] is presented involving fractional derivatives of different orders. These are based on Taylor’s formula for fractional derivatives. The results are applied in proving uniqueness to the solutions of very general fractional initial value problems of fractional ordinary differential equations. This treatment is based on [61].

Date: 2009
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DOI: 10.1007/978-0-387-98128-4_3

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