Complex left Caputo fractional inequalities

Authors

DOI:

https://doi.org/10.24193/subbmath.2021.2.09

Keywords:

Complex inequalities, fractional inequalities, Caputo fractional derivative.

Abstract

Here we present several complex left Caputo type fractional inequalities of well known kinds, such as of Ostrowski, Poincare, Sobolev, Opial and Hilbert- Pachpatte.

Mathematics Subject Classification (2010): 26D10, 26D15, 30A10.

References

Anastassiou, G., A strong fractional calculus theory for Banach space valued functions, Nonlinear Functional Analysis and Applications, 22(2017), no. 3, 495-524.

Anastassiou, G., Complex Opial type inequalities, Romanian J. of Math. & CS, 9(2019), no. 2, 93-97.

Dragomir, S.S., An extension of Ostrowski inequality to the complex integral, RGMIA Res. Rep. Coll., 21(2018), Art 112, 17 pp.

Volintiru, C., A proof of the fundamental theorem of Calculus using Hausdorff measures, Real Analysis Exchange, 26(2000/2001), no. 1, 381-390.

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Published

2021-06-30

How to Cite

ANASTASSIOU, G. A. (2021). Complex left Caputo fractional inequalities. Studia Universitatis Babeș-Bolyai Mathematica, 66(2), 329–338. https://doi.org/10.24193/subbmath.2021.2.09

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