Keywords
Fuzzy Volterra integral equations
Laplace adomian decomposition method
Double parametric form of fuzzy numbers
How to Cite
Abstract
This paper presents a new approach for solving fuzzy Volterra integral equations with separable type kernels. Here triangular and trapezoidal fuzzy numbers are considered for the analysis. In general, the existing approaches first defuzzify the fuzzy integral equation into a crisp system of integral equations or two different crisp integral equations using the concept of fuzzy arithmetic. Then they solved them to obtain the lower and upper bounds of the fuzzy solution. However, using the proposed technique one has to solve only one crisp integral equation which is obtained by using the concept of double parametric form of fuzzy numbers. This makes the proposed approach more computationally efficient. Laplace Adomian Decomposition Method (LADM) has been implemented here to obtain the solution in double parametric form. The usefulness, and practicality of this method are demonstrated through various examples.
References
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