فهرست مطالب s. h. dehghani

Abstract. By using discrete fractional calculus, we investigate the existence of solutions for a self-adjoint nite Nabla fractional dierence equation on the time scale Nb a+1 via initial boundary conditions. Also, we check some conditions for uniqueness of solution of the problem. For nding the solution, we use the Green function which de ned by using the Cauchy function. The principle of contraction mapping also plays an essential role in the existence of the solution. We provided two examples, a gure and numerical results to illustrate our main result. AMS Subject Classi cation: 34A12; 65L12. 

In this research, the catalytic reforming of kerosene fuel was performed in order to investigate the production of jet propellant fuels. For this purpose, at first the role of catalysts in the process of jet fuel production was surveyed. Then, two catalysts of Ni supported on Al2O3 and Ni supported on ZSM-5 was applied as a case study in a fixed bed reactor. The applied catalysts in this research were prepared by deposition-coprecipitation method and their properties were characterized through XRD, EDX, NH3-TPD, and BET analysis. The results of data analysis of liquid phase in the process output showed that applying zeolite catalyst led to production of some products with different properties such that some of these products meet the requirements of valuable products such as jet fuels. The reason was the increase in naphthene content of the produced fuel (from 26.49% in feed to 46.28% over Ni/ZSM-5 catalyst) via catalytic reforming of kerosene. This result leads us to conclude that applying zeolite catalysts considerably increases the ability of kerosene as a feed for reforming process to synthesize jet propellant fuels.