Impulsive fractional functional differential equations with a weakly continuous nonlinearity
Texas State University, Department of Mathematics
A 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.
Impulsive fractional delay differential equation, Global solution, Caputo fractional time derivative
Wang, 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.