Buyukkilic, FDemirhan, D2019-10-272019-10-2720001434-60281434-60361434-60281434-6036https://doi.org/10.1007/s100510051082https://hdl.handle.net/11454/36084In this paper, the particles of quantum gases, that is, bosons and fermions are regarded as g-ons which obey fractional exclusion statistics. With this point of departure the thermostatistical relations concerning the Bose and Fermi systems are unified under the g-on formulation where a fractal approach is adopted. The fractal inspired entropy, the partition function, distribution function, the thermodynamics potential and the total number of g-ons have been found for a grand canonical g-on system. It is shown that from the g-on formulation; by a suitable choice of the parameters of the nonextensivity g, the parameter of the fractional exclusion statistics g, nonextensive Tsallis (q not equal 1) as well as extensive (q = 1) standard thermostatistical relations of the Bose and Fermi systems are recovered.en10.1007/s100510051082info:eu-repo/semantics/closedAccessArticle144705711WOS:000086918400015Q3Q1