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Initial Value Problem of Second Order Intuitionistic Fuzzy Ordinary Differential Equations


Affiliations
1 Department of Mathematics, Vellalar College for Women (Autonomous), Erode – 638012, Tamil Nadu, India
 

In this research paper, different cases of solution of the second order linear Intuitionistic Fuzzy Ordinary Differential Equations (IFODEs) are discussed. The initial conditions and the coefficients of differential equations are taken as the Generalized Trapezoidal Intuitionistic Fuzzy Numbers (GTrIFNs). The concept for finding the solution of second order linear homogeneous intuitionistic fuzzy ordinary differential equations is discussed in detail.


Keywords

Generalized Hukuhara Differentiability, Generalized Trapezoidal Intuitionistic Fuzzy Numbers.
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  • Initial Value Problem of Second Order Intuitionistic Fuzzy Ordinary Differential Equations

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Authors

S. P. Geetha
Department of Mathematics, Vellalar College for Women (Autonomous), Erode – 638012, Tamil Nadu, India
K. K. Sangeetha
Department of Mathematics, Vellalar College for Women (Autonomous), Erode – 638012, Tamil Nadu, India

Abstract


In this research paper, different cases of solution of the second order linear Intuitionistic Fuzzy Ordinary Differential Equations (IFODEs) are discussed. The initial conditions and the coefficients of differential equations are taken as the Generalized Trapezoidal Intuitionistic Fuzzy Numbers (GTrIFNs). The concept for finding the solution of second order linear homogeneous intuitionistic fuzzy ordinary differential equations is discussed in detail.


Keywords


Generalized Hukuhara Differentiability, Generalized Trapezoidal Intuitionistic Fuzzy Numbers.

References





DOI: https://doi.org/10.15613/sijrs%2F2018%2Fv5i1%2F188670