o:32270 On a Generalized Wave Equation with Fractional Dissipation in Non-Local Elasticity en Abstract: We analyze wave equation for spatially one-dimensional continuum with constitutive equation of non-local type. The deformation is described by a specially selected strain measure with general fractional derivative of the Riesz type. The form of constitutive equation is assumed to be in strain-driven type, often used in nano-mechanics. The resulting equations are solved in the space of tempered distributions by using the Fourier and Laplace transforms. The properties of the solution are examined and compared with the classical case. Keywords: wave propagation; general fractional derivative of Riesz type; fractional differential equations. 1552101 2227-7390 1552099 10.3390/math11183850 2024-01-10T13:53:02.516Z 44 no 46 Teodor M. Atanacković 12980071 0000-0002-8714-1388 Diana Dolićanin Đekić person 0000-0002-0414-834X Ersin Gilić Državni univerzitet u Novom Pazaru person 0000-0002-0277-2675 Enes Kačapor Državni univerzitet u Novom Pazaru person 53071113 0000-0001-6658-051X application/pdf 369785 https://phaidrabg.bg.ac.rs/o:32270 no yes 16 70 92000001 20A01 Mathematics 11 18 3850 2023