A second-order semilinear Volterra integrodifferential equation involving fractional time derivatives is considered. We prove existence and uniqueness of mild solutions and classical solutions in appropriate spaces.
Mokhtar Kirane. Milan Medveď. Nasser-eddine Tatar. "Semilinear Volterra Integrodifferential Problems with Fractional Derivatives in the Nonlinearities." Abstr. Appl. Anal. 2011 1 - 11, 2011. https://doi.org/10.1155/2011/510314