$On Caputo <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-Fractional Derivatives and Associated Inequalities$

On Caputo <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-Fractional Derivatives and Associated Inequalities

This paper studies the k-fractional analogue of the Caputo fractional derivatives, their properties, and applications. A convolution of two functions instead of the product is analyzed by means of Caputo k-fractional derivatives. By virtue of defined convolution Chebyshev type, inequalities have bee...

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Bibliographic Details
Main Authors:	Asif Waheed, A. U. Rehman, M. I. Qureshi, F. A. Shah, K. A. Khan, G. Farid
Format:	Article
Language:	English
Published:	IEEE 2019-01-01
Series:	IEEE Access
Subjects:	Caputo fractional derivative Chebyshev inequality quasi-convex function Hadamard inequality
Online Access:	https://ieeexplore.ieee.org/document/8665895/

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