Abstract: In this paper, the solution for second order Cauchy Euler equation is derived using generalized trapezoidal intuitionistic fuzzy number. Further as an application we study the problem for finding the radial displacement of a solid disk with given boundary condition in the form of generalized trapezoidal intuitionistic fuzzy number. The obtained solutions are drawn graphically for different radii using (α,β)-cuts.
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Manoj Sahni, Ritu Sahni, Rajkumar Verma, Ashnil Mandaliya, Dhairya Shah, "Second Order Cauchy Euler Equation and its Application for Finding Radial Displacement of a Solid Disk using Generalized Trapezoidal Intuitionistic Fuzzy Number," WSEAS Transactions on Mathematics, vol. 18, pp. 37-45, 2019, DOI:
Manoj Sahni, Ritu Sahni, Rajkumar Verma, Ashnil Mandaliya, Dhairya Shah. Second Order Cauchy Euler Equation and its Application for Finding Radial Displacement of a Solid Disk using Generalized Trapezoidal Intuitionistic Fuzzy Number.
WSEAS Transactions on Mathematics. 2019;18:37-45.