@article{Lazopoulos2023, 
author = {K.A. Lazopoulos and A.K. Lazopoulos},
title = {Beam bending and Λ-fractional analysis},
year = {2023},
journal = {AIMS Materials Science},
volume = {10},
number = {4},
pages = {604-617},
keywords = {global stability, local stability, Λ-fractional space, Λ-fractional derivative, initial space, coexistence of phases, elastic curve, beam bending},
url = {https://www.sciopen.com/article/10.3934/matersci.2023034},
doi = {10.3934/matersci.2023034},
abstract = {Since the global stability criteria for Λ-fractional mechanics have been established, the Λ-fractional beam bending problem is discussed within that context. The co-existence of the phase phenomenon is revealed, allowing for elastic curves with non-smooth curvatures. The variational bending problem in the Λ-fractional space is considered. Global minimization of the total energy function of beam bending is necessarily applied. The variational Euler-Lagrange equation yields an equilibrium equation of the elastic curve, with the simultaneous possible corners being expressed by Weierstrass-Erdmann corner conditions.}
}