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This review provides the latest developments and trends in the application of fractional calculus (FC) in biomedicine and biology. Nature has often showed to follow rather simple rules that lead to the emergence of complex phenomena as a result. Of these, the paper addresses the properties in respiratory lung tissue, whose natural solutions arise from the midst of FC in the form of non-integer differ-integral...
Fractional hereditary materials are characterized for the presence, in the stress-strain relations, of fractional-order operators with order β∈[0,1]. In Di Paola and Zingales (J. Rheol. 56(5):983–1004, 2012) exact mechanical models of such materials have been extensively discussed obtaining two intervals for β: (i) Elasto-Viscous (EV) materials for 0≤β≤1/2; (ii) Visco-Elastic (VE) materials for 1/2≤...
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