Ünal, CihanAydin, Ismail2025-03-232025-03-2320171311-1728https://doi.org/10.12732/ijam.v30i2.7https://hdl.handle.net/11486/4187In this paper, we study a capacity theory based on a definition of a Riesz potential in the Euclidean space. Also, we define the Riesz (α, p(.))- capacity and discuss the properties of the capacity in the variable exponent Lebesgue space Lp(.)(ℝn). © 2017 Academic Publications.eninfo:eu-repo/semantics/openAccessRiesz capacityVariable exponent Lebesgue spacesArticle30216317610.12732/ijam.v30i2.72-s2.0-85037141990Q2