Zaman, Sharif F.Baleanu, DumitruBaleanu, DumitruPetras, IvoMatematik2018-09-262018-09-262016Zaman, S.F., Baleanu, D., Petras, I. (2016). A fractional finite difference inclusion. Journal of Computational Analysis and Applications, 19(2), 551-560. http://dx.doi.org/10.1515/fca-2016-00281311-04541314-2224https://doi.org/10.1515/fca-2016-0028Zaman, Sharif/0000-0002-3600-2601; Petras, Ivo/0000-0002-9250-6986The new fractional calculus modeling based on Mittag-Leffler function has been employed to generate a better fit model to analyze the ZLC desorption curves for para-xylene diffusion in ZSM-5 zeolites. The diffusivity values generated herewith at 100, 125 and 150 degrees C are reported as 4.4 x 10(-13), 4.98 x 10(-13) and 5.2 x 10(-13) m(2)/s, respectively. The activation energy for this diffusion process is found 4.2 kJ/mol and diffusion proportional constant (D-0) is 1.85 x 10(-12) m(2)/s. The simplified model for ZLC response can be a better way to treat desorption data in ZLC experiments.eninfo:eu-repo/semantics/closedAccessFractional CalculusMittag-Leffler FunctionDiffusionPara-XyleneZeolite Socony Mobile (Zsm)-5Zero Length Column (Zlc) TechniqueArticle19255156010.1515/fca-2016-00282-s2.0-84969760167WOS:000375756300013Q1Q1