Nichaphat PatanarapeelertThanin Sitthiwirattham2025-03-102025-03-102019Mathematics2227739010.3390/math71008732-s2.0-85073781508https://repository.dusit.ac.th//handle/123456789/4865In this paper, we study fractional symmetric Hahn difference calculus. The new idea of the symmetric Hahn difference operator, the fractional symmetric Hahn integral, and the fractional symmetric Hahn operators of Riemann-Liouville and Caputo types are presented. In addition, we formulate some fundamental properties based on these fractional symmetric Hahn operators. � 2019 by the authors. Licensee MDPI, Basel, Switzerland.All Open Access; Gold Open AccessFractional symmetric Hahn difference operatorFractional symmetric Hahn integralArticleScopus