Nonlocal fractional semilinear differential equations in separable Banach spaces

Kexue Li; Jigen Peng; Jinghuai Gao

Nonlocal fractional semilinear differential equations in separable Banach spaces

Kexue Li
, Jigen Peng
, Jinghuai Gao

Xi'an Jiaotong University

科研成果: 期刊稿件 › 文章 › 同行评审

26 引用（Scopus）

摘要

In this article, we study the existence of mild solutions for fractional semilinear differential equations with nonlocal conditions in separable Banach spaces. The result is obtained by using the Hausdorff measure of noncompactness and the Schauder fixed point theorem.

源语言	英语
期刊	Electronic Journal of Differential Equations
卷	2013
出版状态	已出版 - 8 1月 2013

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title = "Nonlocal fractional semilinear differential equations in separable Banach spaces",

abstract = "In this article, we study the existence of mild solutions for fractional semilinear differential equations with nonlocal conditions in separable Banach spaces. The result is obtained by using the Hausdorff measure of noncompactness and the Schauder fixed point theorem.",

keywords = "Fractional differential equation, Hausdorff measure of noncompactness, Mild solution, Nonlocal conditions",

author = "Kexue Li and Jigen Peng and Jinghuai Gao",

year = "2013",

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language = "英语",

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journal = "Electronic Journal of Differential Equations",

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T1 - Nonlocal fractional semilinear differential equations in separable Banach spaces

AU - Li, Kexue

AU - Peng, Jigen

AU - Gao, Jinghuai

PY - 2013/1/8

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N2 - In this article, we study the existence of mild solutions for fractional semilinear differential equations with nonlocal conditions in separable Banach spaces. The result is obtained by using the Hausdorff measure of noncompactness and the Schauder fixed point theorem.

AB - In this article, we study the existence of mild solutions for fractional semilinear differential equations with nonlocal conditions in separable Banach spaces. The result is obtained by using the Hausdorff measure of noncompactness and the Schauder fixed point theorem.

KW - Fractional differential equation

KW - Hausdorff measure of noncompactness

KW - Mild solution

KW - Nonlocal conditions

UR - https://www.scopus.com/pages/publications/84872764552

M3 - 文章

AN - SCOPUS:84872764552

SN - 1072-6691

VL - 2013

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

ER -

Nonlocal fractional semilinear differential equations in separable Banach spaces

摘要

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