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.
International Journal of Dynamical Systems and Differential Equations, 2017 Vol.7 No.1, pp.66 - 81
Available online: 11 Apr 2017 *Full-text access for editors Access for subscribers Free access Comment on this article