Fuzzy fractional initial value problem

被引：23

作者：

Prakash, P. ^{[1
]}

Nieto, J. J. ^{[2
,3
]}

Senthilvelavan, S. ^{[4
]}

Priya, G. Sudha ^{[5
]}

机构：

[1] Periyar Univ, Dept Math, Salem 636011, India

[2] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela, Spain

[3] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia

[4] Erode Sengunthar Engn Coll, Dept Math, Erode, India

[5] Cent Univ Tamil Nadu, Dept Math, Thiruvarur, India

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2015年 / 28卷 / 06期

关键词：

Fuzzy fractional initial value problem; Banach fixed point theorem; Product trapezoidal rule; Product rectangle rule; DIFFERENTIAL-EQUATIONS; BOUNDARY;

D O I：

10.3233/IFS-151547

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

We consider initial value problems for differential equations of fractional order with uncertainty and present the theory and some numerical methods to solve such type of problems under generalized differentiability conditions. The main tool is Banach fixed point theorem. Also we study the numerical approximation of the solutions of a fuzzy fractional initial value problem by using product trapezoidal and product rectangle formulas; the convergence of the numerical scheme is analyzed rigorously. Finally some numerical examples are provided to illustrate the applicability and usefulness of the obtained results.

引用

页码：2691 / 2704

页数：14

共 21 条

[1] Fuzzy fractional integral equations under compactness type condition [J].