Non-differentiable Solutions for Local Fractional Nonlinear Riccati Differential Equations

Issue title: Theory and Applications of Fractional Fourier Transform and its Variants

Guest editors: Yudong Zhang, Xiao-Jun Yang, Carlo Cattani, Zhengchao Dong, Ti-Fei Yuan and Liang-Xiu Han

Article type: Research Article

Authors: Yang, Xiao-Jun^a | Srivastava, H. M.^{b; *} | Torres, Delfim F. M.^c | Zhang, Yudong^{d; e; †}

Affiliations: [a] School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou, 221116, People’s Republic of China. dyangxiaojun@163.com | [b] Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada. harimsri@math.uvic.ca | [c] Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal. delfim@ua.pt | [d] School of Computer Science and Technology, Nanjing Normal University, Nanjing 210023, Department of Mathematics and Mechanics, China | [e] University of Mining and Technology, Xuzhou 221008, People’s Republic of China. zhangyudong@njnu.edu.cn

Correspondence: [†] Address for correspondence: School of Computer Science and Technology, Nanjing Normal University, Nanjing 210023, China

Note: [*] Also affiliated at: China Medical University, Taichung 40402, Taiwan, Republic of China

Abstract: We investigate local fractional nonlinear Riccati differential equations (LFNRDE) by transforming them into local fractional linear ordinary differential equations. The case of LFNRDE with constant coefficients is considered and non-differentiable solutions for special cases obtained.

Keywords: nonlinear Riccati equations, non-differentiable functions, local fractional derivatives

DOI: 10.3233/FI-2017-1500

Journal: Fundamenta Informaticae, vol. 151, no. 1-4, pp. 409-417, 2017