A new technique to solve the initial value problems for fractional fuzzy delay differential equations

被引：14

作者：

Truong Vinh An ^{[1
]}

Ho Vu ^{[2
]}

Ngo Van Hoa ^{[3
,4
]}

机构：

[1] Univ Tech Educ, Fac Sci Appl, Ho Chi Minh City, Vietnam

[2] Banking Univ Ho Chi Minh City, Fac Math Econ, Ho Chi Minh City, Vietnam

[3] Ton Duc Thang Univ, Inst Computat Sci, Div Computat Math & Engn, Ho Chi Minh City, Vietnam

[4] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2017年

关键词：

fractional interval-valued differential equations; fractional interval-valued delay differential equations; weakly contractive mapping; PARTIALLY ORDERED SETS; FUNCTIONAL INTEGRODIFFERENTIAL EQUATIONS; CAPUTO GH-DIFFERENTIABILITY; HUKUHARA DIFFERENTIABILITY; INTEGRAL-EQUATIONS; FIXED-POINT; INTERVAL; EXISTENCE; CALCULUS;

D O I：

10.1186/s13662-017-1233-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using some recent results of fixed point of weakly contractive mappings on the partially ordered space, the existence and uniqueness of solution for interval fractional delay differential equations (IFDDEs) in the setting of the Caputo generalized Hukuhara fractional differentiability are studied. The dependence of the solution on the order and the initial condition of IFDDE is shown. A new technique is proposed to find the exact solutions of IFDDE by using the solutions of interval integer order delay differential equation. Finally, some examples are given to illustrate the applications of our results.

引用

页数：20

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