Fuzzy Double Yang Transform with Application to Fuzzy Parabolic Volterra Integro-Differential Equation
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This article introduces a new fuzzy double integral transformation called the fuzzy double Yang transformation. We review some of the main properties of the transformation and find the conditions for its existence. We prove the theorems for partial derivatives and fuzzy unitary convolution. All new results are applied to find an exact solution to the fuzzy parabolic Volterra integro-differential equation with a memory kernel. In addition, a numerical example is provided to illustrate the accuracy and superiority of the proposed method with the help of symmetric triangular fuzzy numbers.