Terminal value problems of a class of nonlinear fractional evolution equations with Weyl–Liouville derivative are considered. By using Fourier transforms, such a problem is converted into a singular integral equation on infinite interval. Some sufficient conditions are obtained to ensure the existence of a mild solution when the semigroup is compact or noncompact. Finally, an example is provided to illustrate our results.
"Terminal value problems of fractional evolution equations." J. Integral Equations Applications 32 (3) 377 - 393, Fall 2020. https://doi.org/10.1216/jie.2020.32.377