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Analysis of Riccati Differential Equations within a New Fractional Derivative without Singular Kernel

Jafari H., Lia A., Tejadodi H., Baleanu D.

Fundamenta Informaticae

2017

Vol. 151, nr 1/4

161--171

Recently Caputo and Fabrizio suggested new definition of fractional derivative that the new kernel has no singularity. In this paper, an analytical method for solving Riccati differential equation with a new fractional derivative is reported. We present numerical results of solving the fractional Riccati differential equations by using the variational iteration method and its modification. The obtained results of two methods demonstrate the efficiency and simplicity of the MVIM that gives good approximations for a larger interval.

Nuclear data for the cyclotron production of 66Ga, 86Y, 76Br, 64Cu and 43Sc in PET imaging

Sadeghi M., Enferadi M., Aref M., Jafari H.

Nukleonika

2010

Vol. 55, No. 3

293-302

Positron emission tomography (PET) is a powerful diagnostic tool, which provides superior spatial resolution and an opportunity to obtain quantitative information concerning distribution of radioactivity in vivo. Most interesting positron emitters for the purpose of diagnose are 64Cu, 124I, 18F, 86Y, 48V, 52Mn, 140Pr, 72As, 74As, 89Zr, 82Sr, 68Ga, 66Ga, 45Ti, 76Br and 82Rb. Aim of the presented study is to compare the calculated cross sections of several radioisotopes of positron emitters as follows 86Y, 43Sc, 64Cu, 66Ga and 76Br with incident proton energy up to 30 MeV. In this work, excitation function of positron emitters via the 86Sr(p,n)86Y, 43Ca(p,n)43Sc, 66Zn(p,n)66Ga, 64Ni(p,n)64Cu and 76Se(p,n)76Br reactions were calculated by ALICE/ASH 0.1 (GDH model and hybrid model) and TALYS-1.2 (equilibrium and pre-equilibrium) codes and compared to existing data. Requisite for optimal thicknesses of targets were obtained by the stopping and range of ions in matter (SRIM) code for each reaction.