Fractal Continuum Calculus of Functions on Euler-Bernoulli Beam

A new approach for solving the fractal Euler-Bernoulli beam equation is proposed. The mapping of problems in non-differentiable fractals into corresponding continuum applying calculus (FdH3-CC) carried out. derived as a generalization using FdH3-CC under analogous assumptions ordinary and then it solved analytically. To validate spatial distribution self-similar response, three different classical beams with several parameters are analysed. Some mechanical implications discussed.