and Applied Analysis 3 3. Two-Dimensional Differential Transform Method The two-dimensional differential transform of function w(x, y) is defined as W(k, h) = 1 k!h! [ ∂ k+h w (x, y) ∂x∂y ] x=0 y=0 , (9) where it is noted that upper case symbol W(k, h) is used to denote the two-dimensional differential transform of a function represented by a corresponding lower case symbol w(x, y). The differe...

free vibration analysis of higher-order shear deformation beam resting on one- and two-parameter elasticfoundation is studied using differential transform method (dtm) as a part of a calculation procedure. first,the governing differential equations of beam are derived in a general form considering the shear-freeboundary conditions (zero shear stress conditions at the top and bottom of a beam). ...

This paper is on the solutions of fuzzy initial value problems for fourth-order fuzzy differential equations with positive and negative fuzzy coefficients by fuzzy Laplace transform. Examples are solved. Conclusions are given.