Title: Existence and stability of Hadamard p-type fractional functional differential equations
Authors: Haihua Wang
Addresses: Department of Mathematics, Xiangnan University, Chenzhou, Hunan 423000, PR China
Abstract: In this paper, we investigate initial value problems for Hadamard p-type fractional order functional and neutral functional differential equations. Sufficient conditions which guarantee the existence and Hyers-Ulam stability are new and obtained by some classical fixed point theory. Examples are also given to illustrate our theoretical results.
Keywords: existence; Hadamard fractional derivative; Hyers-Ulam stability; p-function.
DOI: 10.1504/IJDSDE.2017.083729
International Journal of Dynamical Systems and Differential Equations, 2017 Vol.7 No.1, pp.66 - 81
Received: 04 Aug 2016
Accepted: 08 Oct 2016
Published online: 20 Apr 2017 *