ADV MATH SCI JOURNAL Advances in Mathematics: Scientific Journal 9 (2020), no.4, 1773–1786 ISSN: 1857-8365 (printed); 1857-8438 (electronic) https://doi.org/10.37418/amsj.9.4.33 Spec. Issue on NCFCTA-2020 ECO- CONSCIOUS CUSTOMER CENTRIC INVENTORY MODEL WITH FRACTIONAL ORDER APPROACH NIVETHA MARTIN 1 AND M. KASI MAYAN ABSTRACT. Eco friendly inventory models are gaining momentum as the hu- man race is marching towards environmental conservation by battling against waste generation and pollutants. As the global market also revolves with cus- tomer as its prime focus, the product production becomes customer centered. To set a balance between eco - consciousness and customer centeredness the environmental costing and customer acquisition costing is incorporated with the costs of inventory. Environmental oriented inventory models are being for- mulated by the researchers with different solution procedure but less focus of customer centric inventory model prevails. This stimulated us to frame inven- tory models by integrating the facets of eco consciousness and customer centric with the goal of profit maximization and costs minimization using fractional calculus approach as the application of fractional calculus in optimizing the in- ventory models is being explored by several scholars and this research work is a contribution to it. This model will aid the decision makers at managerial level. 1. I NTRODUCTION In term of business, inventory is a source of products like material, staff, bud- get for the project. Product which are used once by the customer, concentrate only on the prime product not the waste generate by them (after usage). To conserve the environment that hostility human race producing pollution, can be collected and make useful product again in the market.i.e Reverse logistics. It’s 1 corresponding author 2010 Mathematics Subject Classification. 90B50. Key words and phrases. Centric inventory model, fractional order approach. 1773