On New Unified Bounds for a Family of Functions via Fractionalq-Calculus Theory-Reference-Cited by-同舟云学术

On New Unified Bounds for a Family of Functions via Fractionalq-Calculus Theory

Published:2020-07-16 Issue: Volume:2020 Page:1-9
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Xu Li¹,Chu Yu-Ming²³^ORCID,Rashid Saima⁴^ORCID,El-Deeb A. A.⁵^ORCID,Nisar Kottakkaran Sooppy⁶

Affiliation:

1. Jinhua Radio and Television University, Jinhua 321000, China

2. Department of Mathematics, Huzhou University, Huzhou 313000, China

3. Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science & Technology, Changsha 410114, China

4. Department of Mathematics, Government College University, Faisalabad, Pakistan

5. Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City, Cairo, Egypt

6. Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Al Dawasir 11991, Saudi Arabia

Abstract

The present article deals with the new estimates inq-calculus and fractionalq-calculus on a time scaleTt0=0∪t:t=t0qn,n is a nonnegative integer,wheret0∈ℝand0<q<1.The role of fractional time scaleq-calculus can be found as one of the prominent techniques to generate some variants for a class of positive functionsn n∈ℕ.Finally, our work will provide foundation and motivation for further investigation on time-fractionalq-calculus systems that have an intriguing application in quantum theory and special relativity theory.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2020/4984612.pdf

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