Strong mixed and generalized fractional calculus for banach space valued functions

Authors

  • G. A. Anastassiou Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, U.S.A Author

Keywords:

Right and left fractional derivative, right and left fractional Taylor's formula, Banach space valued functions,

Subjects:

26A33, 26D10, 26D15, 46B25

Abstract

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

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Published

2017-07-15

Issue

Vol. 69 No. 3 (2017): Vol. 69, Issue 3

Section

Articles

License

Copyright (c) 2017 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.