What is it about?

We use double fuzzy Sumudu transform method to find solution of two dimensional fuzzy convolution Volterra integral equations . By using this integral transform method the problem reducing to algebraic problem.

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Why is it important?

The topic of fuzzy integral equations is one of the important branches of fuzzy analysis theory. These equations in a fuzzy setting are a natural way to model the ambiguity of dynamic systems in different scientific fields such as physics, geography, medicine, and biology.

Perspectives

In this paper, the double fuzzy Sumudu transform method for solving two dimensional fuzzy convolution Volterra integral equations have been studied. The concept of double fuzzy convolution have been introduced. A procedure for obtaining the solutions of a two dimensional fuzzy convolution Volterra integral equations using double fuzzy Sumudu transform method have been constructed. An example show that the investigated method is effective in solving the equations of considered kind.

Atanaska Georgieva
University of Plovdiv

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This page is a summary of: Applications of the double fuzzy Sumudu transform for solving Volterra fuzzy integral equations, January 2019, American Institute of Physics,
DOI: 10.1063/1.5133534.
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