MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Strong mixed and generalized fractional calculus for banach space valued functions
G. A. Anastassiou

Abstract

We present here a strong mixed fractional calculus theory for Banach space valued functions of generalized Canavati type. Then we establish several mixed fractional Bochner integral inequalities of various types.

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Keywords: Right and left fractional derivative; right and left fractional Taylor's formula; Banach space valued functions; integral inequalities; Bochner integral.

MSC: 26A33, 26D10, 26D15, 46B25

Pages:  176$-$191     

Volume  69 ,  Issue  3 ,  2017