A survey on fuzzy fractional differential and optimal control nonlocal evolution equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:339

Article

Agarwal, Ravi P.¹  Baleanu, Dumitru^2,3  Nieto, Juan J.⁴  Torres, Delfim F. M.⁵  Zhou, Yong^6,7 

[1] Texas A&M Univ Kingvsille, Dept Math, Kingsville, TX 78363 USA

[2] Cankaya Univ, Dept Math, Ankara, Turkey

[3] Inst Space Sci, Magurele, Romania

[4] Univ Santiago de Compostela, Inst Matemat, Santiago De Compostela 15782, Spain

[5] Univ Aveiro, Dept Math, Ctr Res & Dev Math & Applicat CIDMA, P-3810193 Aveiro, Portugal

[6] Xiangtan Univ, Fac Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China

[7] King Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Fac Sci, Jeddah 21589, Saudi Arabia

关键词: Fuzzy fractional differential equations;    Fractional evolution equations;    Numerical solutions;    Controllability;    Optimal control;    Nonlocal conditions;   

DOI  :  10.1016/j.cam.2017.09.039

来源: Elsevier

【 摘 要 】

We survey some representative results on fuzzy fractional differential equations, controllability, approximate controllability, optimal control, and optimal feedback control for several different kinds of fractional evolution equations. Optimality and relaxation of multiple control problems, described by nonlinear fractional differential equations with nonlocal control conditions in Banach spaces, are considered. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free