International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/1660 2020 2020 Department of Mathematics, H.H. The Rajah’s College, Pudukkottati, Affiliated to Bharathidasan University, Tiruchirappalli, Tamilnadu, India R. Muthuraj Department of Mathematics, H.H. The Rajah’s College, Pudukkottati, Affiliated to Bharathidasan University, Tiruchirappalli, Tamilnadu, India K. Nachammal Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamilnadu, India M. Jeyaraman In this paper, we introduce the notion of non- Archimedean neutrosophic normed space and also establish Hyers-Ulam-Rassias-type stability results concerning the Cauchy, Pexiderized  Cauchy. We determine some stability results concerning the Cauchy, Jensen and its Pexiderized functional equations in the framework of non-Archimedean Neutrosophic Normed Space. This work indeed presents a relationship between four various disciplines, the theory of neutrosophic normed space, non – Archimedean, Hyers-Ulam-Rassias stability and functional equation. 2023 2023 46 57 10.54216/IJNS.200403 https://www.americaspg.com/articleinfo/21/show/1660