Existence and uniqueness results for fractional differential equations with uncertainty

被引：79

作者：

Salahshour, S. ^{[1
]}

Allahviranloo, T. ^{[2
]}

Abbasbandy, S. ^{[2
]}

Baleanu, D. ^{[3
,4
]}

机构：

[1] Islamic Azad Univ, Mobarakeh Branch, Young Researchers Club, Mobarakeh, Iran

[2] Islamic Azad Univ, Sci & Res Branch, Dept Math, Tehran, Iran

[3] Cakaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey

[4] Inst Space Sci, Magurele, Romania

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2012年

关键词：

fuzzy fractional differential equations (FFDEs); Riemann-Liouville's H-differentiability; Caputo's H-differentiability;

D O I：

10.1186/1687-1847-2012-112

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence, uniqueness and approximate solutions of fuzzy fractional differential equations (FFDEs) under Caputo's H-differentiability. To this end, the concept of Riemann-Liouville's H-differentiability is introduced, and subsequently, the Caputo's H-differentiability is proposed. Moreover, the related fuzzy Volterra integral forms of FFDEs are obtained which are applied to construct two converge consequences of fuzzy-valued functions as approximated solutions of FFDEs.

引用

页数：12

共 50 条

[21] EXISTENCE AND UNIQUENESS RESULTS FOR ψ-FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH BOUNDARY CONDITIONS
Vivek, Devaraj
Elsayed, E. M.
Kanagarajan, Kuppusamy
PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2020, 107 (121): : 145 - 155
[22] Existence and Uniqueness Results for a Class of Fractional Integro-Stochastic Differential Equations
Alanzi, Ayed. R. A.
Alshqaq, Shokrya S.
Fakhfakh, Raouf
Ben Makhlouf, Abdellatif
FRACTAL AND FRACTIONAL, 2025, 9 (01)
[23] Existence and Uniqueness Results for Fractional Integro-Differential Equations with Nonlocal Conditions
Wu, Jun
Liu, Yicheng
2010 2ND IEEE INTERNATIONAL CONFERENCE ON INFORMATION AND FINANCIAL ENGINEERING (ICIFE), 2010, : 91 - 94
[24] Existence and uniqueness results for a coupled system of nonlinear fractional differential equations with two fractional orders
Houas, Mohamed
Saadi, Abdelkader
JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2020, 23 (06) : 1047 - 1064
[25] Existence and uniqueness of positive solutions for fractional differential equations
Tao Zhu
Boundary Value Problems, 2019
[26] ON THE EXISTENCE AND UNIQUENESS OF SOLUTION OF A NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS
Darzi, R.
Mohammadzadeh, B.
Neamaty, A.
Baleanu, D.
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2013, 15 (01) : 152 - 162
[27] EXISTENCE AND UNIQUENESS OF SOLUTIONS TO IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS
Benchohra, Mouffak
Slimani, Boualem Attou
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2009,
[28] Existence and uniqueness for a class of iterative fractional differential equations
Rabha W Ibrahim
Adem Kılıçman
Faten H Damag
Advances in Difference Equations, 2015
[29] On the existence and uniqueness of solutions of a class of fractional differential equations
Ibrahim, Rabha W.
Momani, Shaher
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (01) : 1 - 10
[30] Existence and uniqueness of solutions for impulsive fractional differential equations
Rehman, Mujeeb Ur
Eloe, Paul W.
APPLIED MATHEMATICS AND COMPUTATION, 2013, 224 : 422 - 431

← 1 2 3 4 5 →