Existence-uniqueness of solutions for fuzzy nabla initial value problems on time scales

Advances in Difference Equations

M. S. N. Murty¹  R. V. N. Srinivasa Rao²  G. Suresh Kumar³  R. Leelavathi³ 

[1] Department of Mathematics, Acharya Nagarjuna University;Department of Mathematics, College of Natural and Computational Sciences, Wollega University;Department of Mathematics, Koneru Lakshmaiah Education Foundation, KL Deemed to be University;

关键词: Time scales;    Hukuhara difference;    Nabla Hukuhara derivative;    Fuzzy differential equations;   

DOI  :  10.1186/s13662-019-2201-6

来源: DOAJ

【 摘 要 】

Abstract This paper is devoted to studying the existence and uniqueness of solutions of fuzzy nabla dynamic equations on time scales under Hukuhara differentiability. We apply the Banach contraction mapping principle to establish existence and uniqueness solution for fuzzy nabla initial value problems on time scales and also obtain existence result using Ascoli’s theorem and Schauder’s fixed point theorem.

【 授权许可】

Unknown