Dynamical Systems Approach of Internal Length in Fractional Calculus
Mindlin R.D., Second gradient of strain and surface tension in linear elasticity, Intl. Journal of Solids and Structures, 1: 417–438, 1965.
Aifantis E.C., On the role of gradients in the localization of deformation and fracture. International Journal of Engineering Science, 30(10): 1279–1299, 1992.
Lazopoulos K.A., Lazopoulos A.K., Fractional derivatives and strain gradient elasticity, Acta Mechanica, 227(3): 823–835, 2016.
Drapaca C.S., Sivaloganathan S., A fractional model of continuum mechanics, Journal of Elasticity, 107(2):105–123, 2012.
Tarasov V.E., Aifantis, E.C., Non-standard extensions of gradient elasticity: Fractional non-locality, memory and fractality, Communications in Nonlinear Science and Numerical Simulation, 22(1–3): 197–227, 2015.
Sumelka W., Thermoelasticity in the framework of the fractional continuum mechanics, Journal of Thermal Stresses, 37(6): 678–706, 2014.
Atanackovic T.M., Stankovic. B., Generalized wave equation in non-local elasticity, Acta Mech., 208(1): 1–10, 2009.
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