Concepedia

A remark on the q-fractional order differential equations

Yongchao Tang, Tie Zhang

Applied Mathematics and Computation · 2019 · 28 citations · 19 references

DOI

Concepts

References

19

XI.—On <i>q</i>-Functions and a certain Difference Operator

F. H. Jackson · Transactions of the Royal Society of Edinburgh · 1909 · 851 citations

, , +7

Certain fractional <i>q</i>-integrals and <i>q</i>-derivatives

Ravi P. Agarwal · Mathematical Proceedings of the Cambridge Philosophical Society · 1969 · 415 citations

, , +3

Fractional integrals and derivatives in q-calculus

Predrag M. Rajković, Sladjana D. Marinković, Stankovic Miomir · Applicable Analysis and Discrete Mathematics · 2007 · 307 citations · Full text

, , +3

Comparing the Atangana–Baleanu and Caputo–Fabrizio derivative with fractional order: Allen Cahn model

Obaid Algahtani · Chaos Solitons & Fractals · 2016 · 221 citations

, , +5

On integral representations of q-gamma and q-beta functions

Alberto De Sole, Victor G. Kač · arXiv (Cornell University) · 2003 · 150 citations · Full text

, , +10