Impulsive fractional functional differential equations with a weakly continuous nonlinearity
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Date
2017-11-14
Authors
Wang, Yejuan
Gao, Fengshuang
Kloeden, Peter
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Impulsive fractional delay differential equation, Global solution, Caputo fractional time derivative
Citation
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.