Corrigendum to "Fermi-Pasta-Ulam chains with harmonic and anharmonic long-range interactions" [CNSNS 60 (2018) 115-127] (S1007570418300121) (10.1016/j.cnsns.2018.01.006))

After the publication of paper [1], we realized that the coefficients of the nonlinear terms in the generalized fractional Boussinesq differential equations were affected by an error generated by an incorrect application of the Fourier transform to the nonlinear terms of the equations of motion. For those terms, one has to proceed by redoing the corresponding calculations as in the Appendices B, C and D of Chendjou et al. [1]. In the lattice, before taking the continuum limit, one gets sums of the type [Formula presented]. Doing the approximation that in these sums the fields [Formula presented]'s are slowly varying in space, one can bring such terms [Formula presented] outside the sums over n?. We then obtain the same structure for the generalized fractional Boussinesq differential equations, but with different coefficients of their nonlinear terms. More precisely: o In Eq. (17), the coefficient [Formula presented] should read [Formula presented]o In Eq. (24), the coefficient [Formula presented] should read [Formula presented]o In Eq. (31), the coefficient [Formula presented] should read [Formula presented]Apart from the numerical values of the coefficients [Formula presented] and [Formula presented] the conclusions of the paper remain unaltered. As a future work, we think that it could be interesting to release the approximation mentioned above for the continuum limit of the nonlinear terms and get a more general fractional equation. Finally, Hamiltonian (18) should read [Formula presented]with a factor fn,m added in the last sum on the right hand side. The equations of motions (19) and the subsequent conclusions are unaltered