A new method for the solution of nth order linear differential equations using m-polar fuzzy model

Abstract

An m-polar fuzzy set model is a mathematical tool for dealing with uncertainty in multipolar data. This paper extensively investigates the use of the eigenvalue-eigenvector approach to solve nth order differential equations with distinctive m-polar fuzzy initial conditions. It digs further into three different eigenvalue scenarios using this strategy. Given that we are working with m-polar fuzzy numbers, the solution is a fuzzy number encompassing each component. Furthermore, the methodology is explained through a variety of examples to aid readers in understanding the principles. Moreover, the graphical presentation of the solution is also provided.