2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/219675We introduce the diamond-alpha exponential function on time scales. As particular cases, one gets both delta and nabla exponential functions. A method of solution of a homogenous linear dynamic diamond-alpha equation on a regular time scale is investigated, and examples of diamond-alpha exponential functions are presented.Accepted (09/February/2009) for publication at the "African Diaspora Journal of Mathematics", http://www.african-j-math.orgClassical Analysis and ODEsDynamical Systems26A09; 39A12text