An exact solution of fractional Euler-Bernoulli equation for a beam with fixed-supported and fixed-free ends

作者：

Highlights：

• An exact solution of the Euler-Bernoulli beam equation including the left and right space Caputo’s fractional derivatives is presented.

• Two types of boundary conditions (fixed-simply supported and fixed-free) are considered.

• Three particular solutions for a constant, power and trigonometric function are presented.

摘要

•An exact solution of the Euler-Bernoulli beam equation including the left and right space Caputo’s fractional derivatives is presented.•Two types of boundary conditions (fixed-simply supported and fixed-free) are considered.•Three particular solutions for a constant, power and trigonometric function are presented.

论文关键词：Euler-Bernoulli beam equation,Fractional Caputo derivatives,Exact solution

论文评审过程：Received 21 July 2020, Accepted 19 December 2020, Available online 5 January 2021, Version of Record 5 January 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125932