Parameter study of variable order fractional model for the strain hardening behavior of glassy polymers

A new collection of real world applications of fractional calculus in science and engineering

HongGuang Sun, Yong Zhang, Dumitru Bǎleanu et al. · Communications in Nonlinear Science and Numerical Simulation · 2018 · 1.7K citations

Natural Sciences, Mathematics, Applied Mathematics +13

Variable Order and Distributed Order Fractional Operators

Carl F. Lorenzo, Tom T. Hartley · Nonlinear Dynamics · 2002 · 866 citations

Natural Sciences, Mathematics, Algebra +3

The use of a mathematical model to describe isothermal stress-strain curves in glassy thermoplastics

R. N. Haward, G. Thackray · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1968 · 640 citations

Natural Sciences, Materials Engineering, Materials Science +17

Variable-order fractional differential operators in anomalous diffusion modeling

HongGuang Sun, Wen Chen, YangQuan Chen · Physica A Statistical Mechanics and its Applications · 2009 · 565 citations

Engineering, Mathematics, Physics +11

Mechanics with variable-order differential operators

Carlos F.M. Coimbra · Annalen der Physik · 2003 · 408 citations

Engineering, Mechanical Engineering, Physics +11