Al-Omari, S.K.Q.Baleanu, DumitruBaleanu, D.Matematik02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2025-09-232025-09-232018Al-Omari, S.K.Q.; Baleanu, Dumitru (2018). "The extension of a modified integral operator to a class of generalized functions", Journal of Computational Analysis and Applications, Vol. 24, No. 2, pp. 209-218.1521-1398https://hdl.handle.net/20.500.12416/15488In this paper, we investigate a class of modified G-transforms having G-functions as kernels on a generalized space of sequences. We derive certain spaces of generalized functions named as Boehmians to legitimate the existence of the described integral. The modified G-transform is partially sharing the classical transform with some general properties. An inversion formula is also discussed on the generalized sense. © 2018 by Eudoxus Press, LLC. All rights reserved.eninfo:eu-repo/semantics/closedAccessBoehmiansFox.S H-FunctionGeneralized FunctionModified G-TransformArticle2-s2.0-85027328713