In this paper, we use the generalized differentiability concept tostudy the fuzzy transport equation. We consider transport equationin the homogeneous and non-homogeneous cases with fuzzy initialcondition. We also present the solution when speed parameter is a fuzzynumber. Our method is based on the construction of the solutionsby employing Zadeh's extension principle.

We study the construction of nonuniform tight wavelet frames for Lebesgue space $L^2(\mathbb{R})$, where related translation set is not necessary a group. The main purpose this paper to prove unitary extension principle (UEP) and oblique (OEP) multi-generated $L^2(\mathbb{R})$. Some examples are also given illustrate results.