Certain fractional q-symmetric integrals and q-symmetric derivatives and their application.
- Resource Type
- Article
- Authors
- Sun, Mingzhe; Jin, Yuanfeng; Hou, Chengmin
- Source
- Advances in Difference Equations. 8/30/2016, Vol. 2016 Issue 1, p1-18. 18p.
- Subject
- *FRACTIONAL integrals
*MATHEMATICAL symmetry
*CAUCHY integrals
*MULTIPLE integrals
*DIFFERENCE operators
*BOUNDARY value problems
- Language
- ISSN
- 1687-1839
The q-symmetric analogs of Cauchy's formulas for multiple integrals are obtained. We introduce the concepts of the fractional q-symmetric integrals and fractional q-symmetric derivatives and discuss some of their properties. By using some properties of q-symmetric fractional integrals and fractional difference operators, we study a boundary value problem with nonlocal boundary conditions. [ABSTRACT FROM AUTHOR]