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

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

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.

Original language	English
Journal	Electronic Journal of Differential Equations
Volume	2013
State	Published - 8 Jan 2013

Keywords

Fractional differential equation
Hausdorff measure of noncompactness
Mild solution
Nonlocal conditions

Cite this

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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",

volume = "2013",

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

Y1 - 2013/1/8

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

Abstract

Keywords

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