On the solutions of some fractional q-differential equations with the Riemann-Liouville fractional q-derivative
Abstrak
This paper is devoted to explicit and numerical solutions to linear fractional q-difference equations and the Cauchy type problem associated with the Riemann-Liouville fractional q-derivative in q-calculus. The approaches based on the reduction to Volterra q-integral equations, on compositional relations, and on operational calculus are presented to give explicit solutions to linear q-difference equations. For simplicity, we give results involving fractional q-difference equations of real order a > 0 and given real numbers in q-calculus. Numerical treatment of fractional q-difference equations is also investigated. Finally, some examples are provided to illustrate our main results in each subsection.
Topik & Kata Kunci
Penulis (2)
S. Shaimardan
N.S. Tokmagambetov
Akses Cepat
- Tahun Terbit
- 2021
- Sumber Database
- DOAJ
- DOI
- 10.31489/2021M4/130-141
- Akses
- Open Access ✓