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Fractional non conformable Hermite-Hadamard inequalities for generalized ϕ-convex functions

Ali Muhammad A., Valdés Juan E. Nápoles, Kashuri Artion, Zhang Zhiyue

Fasciculi Mathematici

2020

nr 64

5--16

In this paper, we present new inequalities of the Hermite–Hadamard type for generalized ϕ-convex functions, within the framework of non-conformable fractional integrals.

Numerical Solution of Fractional Neutron Point Kinetics Model in Nuclear Reactor

Nowak T. K., Duzinkiewicz K., Piotrowski R.

Archives of Control Sciences

2014

Vol. 24, no. 2

129--154

This paper presents results concerning solutions of the fractional neutron point kinetics model for a nuclear reactor. Proposed model consists of a bilinear system of fractional and ordinary differential equations. Three methods to solve the model are presented and compared. The first one entails application of discrete Grünwald-Letnikov definition of the fractional derivative in the model. Second involves building an analog scheme in the FOMCON Toolbox in MATLAB environment. Third is the method proposed by Edwards. The impact of selected parameters on the model’s response was examined. The results for typical input were discussed and compared.