Wang, YejuanGao, FengshuangKloeden, Peter2022-09-082022-09-082017-11-14Wang, Y., Gao, F., & Kloeden, P. (2017). Impulsive fractional functional differential equations with a weakly continuous nonlinearity. <i>Electronic Journal of Differential Equations, 2017</i>(285), pp. 1-18.1072-6691https://hdl.handle.net/10877/16130A general theorem on the local and global existence of solutions is established for an impulsive fractional delay differential equation with Caputo fractional substantial derivative in a separable Hilbert space under the assumption that the nonlinear term is weakly continuous. The uniqueness of solutions is also considered under an additional Lipschitz assumption.Text18 pages1 file (.pdf)enAttribution 4.0 InternationalImpulsive fractional delay differential equationGlobal solutionCaputo fractional time derivativeImpulsive fractional functional differential equations with a weakly continuous nonlinearityArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.