Abstract
We consider three different systems of dual q-integral equations where the kernel is the third Jackson q-Bessel functions. We solve the first system by applying the multiplying factor method (ansatz solution) and the second by employing the fractional q-calculus, and we use the q-Mellin transform to reduce the third system to a Fredholm q-integral equation of the second kind. Examples are included.
| Original language | English |
|---|---|
| Pages (from-to) | 63-102 |
| Number of pages | 40 |
| Journal | Pacific Journal of Mathematics |
| Volume | 275 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2015 |
| Externally published | Yes |
Keywords
- Fractional q-integral operator
- q-dual integral equations
- q-fourier transform
- q-special functions