Semantic Scholar Open Access 2007 202 sitasi

Fractional q-Calculus on a time scale

F. Atici P. Eloe

Abstrak

Abstract The study of fractional q-calculus in this paper serves as a bridge between the fractional q-calculus in the literature and the fractional q-calculus on a time scale , where to ∈ ℝ and 0 < q < 1. By use of time scale calculus notation, we find the proof of many results more straight forward. We shall develop some properties of fractional q-calculus, we shall develop some properties of a q-Laplace transform, and then we shall employ the q-Laplace transform to solve fractional q-difference equations.

Topik & Kata Kunci

Penulis (2)

F

F. Atici

P

P. Eloe

Format Sitasi

Atici, F., Eloe, P. (2007). Fractional q-Calculus on a time scale. https://doi.org/10.2991/jnmp.2007.14.3.4

Akses Cepat

Lihat di Sumber doi.org/10.2991/jnmp.2007.14.3.4
Informasi Jurnal
Tahun Terbit
2007
Bahasa
en
Total Sitasi
202×
Sumber Database
Semantic Scholar
DOI
10.2991/jnmp.2007.14.3.4
Akses
Open Access ✓