ISSN:2325-6192 (print)
ISSN:2325-6206 (online)
Journal of Environmental Accounting and Management
António Mendes Lopes (editor), Jiazhong Zhang(editor)
António Mendes Lopes (editor)

University of Porto, Portugal

Email: aml@fe.up.pt

Jiazhong Zhang (editor)

School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi Province 710049, China

Fax: +86 29 82668723 Email: jzzhang@mail.xjtu.edu.cn

Solving Nonlinear Inventory Model for Deteriorating Items using Fractional Differential Method

Journal of Environmental Accounting and Management 10(1) (2022) 31--38 | DOI:10.5890/JEAM.2022.03.004

M.V. Jeyanthi$^1$ , P.S. Sheik Uduman$^1$, Dowlath Fathima$^2$

$^1$ B.S.A. Crescent Institute of Engineering and Technology, India

$^2$ Saudi Electronic University, Saudi Arabia

Abstract

In this paper, a nonlinear inventory model with demand as a derivative of time is developed for deteriorating items with no shortages are allowed. The model is solved initially by using Differential Transform Method (DTM) and further, the model is modified to Caputo Derivative Fractional Order (CDFO) and solved by Homotopy Perturbation Method with triangular fuzzy initial conditions. The results for both models in terms of non-linearity of DTM and HPM are analyzed and compared numerically.

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