On the Convergence of Successive Approximations for a Fractional Differential Equation in Banach Spaces

Aldona Dutkiewicz

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On the Convergence of Successive Approximations for a Fractional Differential Equation in Banach Spaces

机译：Banach空间中分数阶微分方程的逐次逼近的收敛性。

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摘要

In this paper we present a convergence result for the successive approximations for a nonlinear fractional differential equation of Caputo type in Banach spaces. Also an example is given to illustrate our result.

机译：在本文中，我们给出了Banach空间中Caputo型非线性分数阶微分方程的逐次逼近的收敛结果。还给出了一个例子来说明我们的结果。

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《Zeitschrift fur Analysis und ihre Anwendungen》 |2014年第3期|共6页
作者
Aldona Dutkiewicz;
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正文语种 eng
中图分类数学;
关键词
Fractional differential equations; initial value problem; successive approximations; Caputo's derivative; measures of noncompactness; Banach spaces;

机译：分数阶微分方程;初值问题;逐次逼近;Caputo导数;非紧致性的度量;Banach空间;

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专利

1. On the Convergence of Successive Approximations for a Fractional Differential Equation in Banach Spaces [J] . Aldona Dutkiewicz Zeitschrift fur Analysis und ihre Anwendungen . 2014,第3期

机译：Banach空间中分数阶微分方程的逐次逼近的收敛性。
2. Uniqueness results and convergence of successive approximations for fractional differential equations [J] . Wu J., Liu Y. hacettepe journal of mathematics and statistics . 2013,第2期

机译：分数阶微分方程的唯一性结果和逐次逼近的收敛性
3. The solution existence and convergence analysis for linear and nonlinear differential-operator equations in Banach spaces within the Calogero type projection-algebraic scheme of discrete approximations [J] . Lustyk M, Janus J, Pytel-Kudela M, Central European Journal of Mathematics . 2009,第4期

机译：Calogero型投影-代数离散近似方案内Banach空间中线性和非线性微分算子方程的解存在和收敛性分析
4. Solvability for a Couple System of Nonlinear Fractional Differential Equations in a Banach Space [C] . Jitai Liang, Zhenhai Liu Proceedings of the Fifth symposium on fractional differentiation and its applications . 2012

机译：Banach空间中一类非线性分数阶微分方程组的可解性。
5. Multistep linear methods for integro -differential equations of fractional order in Banach spaces [D] . Cuesta Montero, Eduardo. 2001

机译：Banach空间中分数阶积分微分方程的多步线性方法
6. On stochastic differential equations with arbitrarily slow convergence rates for strong approximation in two space dimensions [O] . Máté Gerencsér, Arnulf Jentzen, Diyora Salimova -1

机译：具有二维空间强逼近的具有任意慢收敛速度的随机微分方程
7. Global Weak Convergence of Successive Approximations for Nonlinear Ordinary Differential Equations in Banach Spaces [O] . Yasuhiko YABU, Shigeo KATO 1986

机译：Banach空间中非线性常微分方程逐次逼近的全局弱收敛性。

On the Convergence of Successive Approximations for a Fractional Differential Equation in Banach Spaces

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