“…(i) solving the fractional differential equations of the continuous Euler-Bernoulli beam (since fractional operators are involved and readers are referred to Caputo and Mainardi (1971), Gonsovski and Rossikhin (1973), Stiassnie (1979), Bagley and Torvik (1983), Bagley and Torvik (1986), Samko et al (1993), Podlubny (1999), Hilfer (2000), Schmidt and Gaul (2002), Mainardi and Gorenflo (2007), Mainardi (2010), Evangelatos and Spanos (2011));…”