Existence, uniqueness and stability of fuzzy fractional differential equations with local Lipschitz and linear growth conditions

Advances in Difference Equations

M Gachpazan¹  O Solaymani Fard¹  SS Mansouri¹ 

[1] Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran

关键词: credibility theory;    fractional derivative;    fractional differential equation;    fuzzy differential equations;    fuzzy Liu’s process;    existence and uniqueness;   

DOI  :  10.1186/s13662-017-1293-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Fuzzy fractional differential equations (FFDEs) driven by Liu’s process are a type of fractional differential equations. In this paper, we intend to provide and prove a novel existence and uniqueness theorem for the solutions of FFDEs under local Lipschitz and linear growth conditions. We also investigate the stability of solutions to FFDEs by a theorem. Finally, some examples are provided.

【 授权许可】

CC BY