A sufficient condition of viability for fractional differential equations with the Caputo derivative

被引：22
|
作者：
Girejko, Ewa [1 ]
Mozyrska, Dorota [1 ]
Wyrwas, Malgorzata [1 ]
机构：
[1] Bialystok Tech Univ, Dept Math, Fac Comp Sci, PL-15351 Bialystok, Poland
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 381卷 / 01期
关键词：
Viability; Fractional derivative; Fractional differential equation; INITIAL-VALUE PROBLEMS; EXISTENCE; THEOREMS;
D O I：
10.1016/j.jmaa.2011.04.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper viability results for nonlinear fractional differential equations with the Caputo derivative are proved. We give the sufficient condition that guarantees fractional viability of a locally closed set with respect to nonlinear function. As an example we discuss positivity of solutions, particularly in linear case. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：146 / 154
页数：9
相关论文
共 50 条
  • [21] Fractional Differential Equations With Dependence on the Caputo-Katugampola Derivative
    Almeida, Ricardo
    Malinowska, Agnieszka B.
    Odzijewicz, Tatiana
    JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2016, 11 (06):
  • [22] THEORY AND ANALYSIS OF PARTIAL DIFFERENTIAL EQUATIONS WITH A ψ-CAPUTO FRACTIONAL DERIVATIVE
    Vivek, D.
    Elsayed, E. M.
    Kanagarajan, K.
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2019, 49 (04) : 1355 - 1370
  • [23] The averaging principle for stochastic differential equations with Caputo fractional derivative
    Xu, Wenjing
    Xu, Wei
    Zhang, Shuo
    APPLIED MATHEMATICS LETTERS, 2019, 93 : 79 - 84
  • [24] Fractional Integral Inequalities and Their Applications to Degenerate Differential Equations with the Caputo Fractional Derivative
    A. N. Artyushin
    Siberian Mathematical Journal, 2020, 61 : 208 - 221
  • [25] Existence and Stability for Fractional Differential Equations with a ψ-Hilfer Fractional Derivative in the Caputo Sense
    He, Wenchang
    Jin, Yuhang
    Wang, Luyao
    Cai, Ning
    Mu, Jia
    MATHEMATICS, 2024, 12 (20)
  • [26] Control theory for fractional differential Sylvester matrix equations with Caputo fractional derivative
    Sadek, Lakhlifa
    JOURNAL OF VIBRATION AND CONTROL, 2024,
  • [27] Fractional Integral Inequalities and Their Applications to Degenerate Differential Equations with the Caputo Fractional Derivative
    Artyushin, A. N.
    SIBERIAN MATHEMATICAL JOURNAL, 2020, 61 (02) : 208 - 221
  • [28] A necessary condition of viability for fractional differential equations with initialization
    Mozyrska, Dorota
    Girejko, Ewa
    Wyrvvas, Malgorzata
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (09) : 3642 - 3647
  • [29] Implicit Fractional Differential Equations via the Liouville-Caputo Derivative
    Nieto, Juan J.
    Ouahab, Abelghani
    Venktesh, Venktesh
    MATHEMATICS, 2015, 3 (02): : 398 - 411
  • [30] On the averaging principle for stochastic differential equations involving Caputo fractional derivative
    Xiao, Guanli
    Feckan, Michal
    Wang, JinRong
    CHAOS, 2022, 32 (10)
12345