TY - CHAP
T1 - On Q-fractional Calculus
T2 - Foundations and Theoretical Insights
AU - Batiha, Iqbal M.
AU - Albteiha, Sharaf Aldeen O.
AU - Momani, Shaher
N1 - Publisher Copyright:
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.
PY - 2025
Y1 - 2025
N2 - This work is devoted to introducing a full overview of q-calculus and fractional q-calculus. Several theorems, lemmas, corollaries, and results are stated and proved in detail by our methodologies. We think that this work would pave the way to further explore and investigate more results and applications in the field of fractional q-calculus. Furthermore, the presented framework may serve as a foundation for advancing research in related mathematical areas, such as quantum calculus and its various extensions. By leveraging these results, researchers can develop new techniques for solving complex problems.
AB - This work is devoted to introducing a full overview of q-calculus and fractional q-calculus. Several theorems, lemmas, corollaries, and results are stated and proved in detail by our methodologies. We think that this work would pave the way to further explore and investigate more results and applications in the field of fractional q-calculus. Furthermore, the presented framework may serve as a foundation for advancing research in related mathematical areas, such as quantum calculus and its various extensions. By leveraging these results, researchers can develop new techniques for solving complex problems.
UR - https://www.scopus.com/pages/publications/105008334195
U2 - 10.1007/978-3-031-84955-8_6
DO - 10.1007/978-3-031-84955-8_6
M3 - Chapter
AN - SCOPUS:105008334195
T3 - Studies in Systems, Decision and Control
SP - 127
EP - 161
BT - Studies in Systems, Decision and Control
PB - Springer Science and Business Media Deutschland GmbH
ER -