- - - Department of Mathematics, Faculty of Education, University of Kufa, Najaf, Iraq
- - - Department of Mathematics, Faculty of Education for Girls, University of Kufa, Najaf, Iraq
- - - Department of Mathematics, Faculty of Education for Girls, University of Kufa, Najaf, Iraq

The strongly generalized differentiability notion is used to study the fuzzy Aboodh transform formula on the fuzzy n^{th} -order differential in this paper. It is also employed in an analytic technique for fuzzy fifth-order differential equations, and the related theorems and properties are demonstrated in detail. Solving a few instances demonstrates the process.

Fuzzy fifth-order differential equation, Fuzzy n^{th} -order differential equation, Fuzzy number, Fuzzy Aboodh transform, Strongly generalized differentiable