EMIS ELibM Electronic Journals MATEMATIČKI VESNIK
Vol. 69, No. 3, pp. 176–191 (2017)

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Strong mixed and generalized fractional calculus for banach space valued functions

G. A. Anastassiou

Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, U.S.A. E-mail: ganastss@memphis.edu

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.

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

Classification (MSC2000): 26A33; 26D10, 26D15, 46B25

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