On New Unified Bounds for a Family of Functions via Fractional q-Calculus Theory
The present article deals with the new estimates in q-calculus and fractional q-calculus on a time scale Tt0=0∪t:t=t0qn,n is a nonnegative integer, where t0∈ℝ and 0<q<1. The role of fractional time scale q-calculus can be found as one of the prominent techniques to generate some variants for a...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/4984612 |
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| Summary: | The present article deals with the new estimates in q-calculus and fractional q-calculus on a time scale Tt0=0∪t:t=t0qn,n is a nonnegative integer, where t0∈ℝ and 0<q<1. The role of fractional time scale q-calculus can be found as one of the prominent techniques to generate some variants for a class of positive functions n n∈ℕ.Finally, our work will provide foundation and motivation for further investigation on time-fractional q-calculus systems that have an intriguing application in quantum theory and special relativity theory. |
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| ISSN: | 2314-8896 2314-8888 |