Existence results for semilinear fractional differential equations via kuratowski measure of noncompactness

Li Kexue; Peng Jigen; Gao Jinghuai

doi:10.2478/s13540-012-0041-0

Existence results for semilinear fractional differential equations via kuratowski measure of noncompactness

Li Kexue
, Peng Jigen
, Gao Jinghuai

Xi'an Jiaotong University

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

26 Scopus citations

Abstract

In this paper, we study the existence of mild solutions for a class of semilinear fractional differential equations with nonlocal conditions in Banach spaces. The results are obtained by using convex-power condensing operator and fixed point theory. An example is presented to illustrate the main result.

Original language	English
Pages (from-to)	591-610
Number of pages	20
Journal	Fractional Calculus and Applied Analysis
Volume	15
Issue number	4
DOIs	https://doi.org/10.2478/s13540-012-0041-0
State	Published - Dec 2012

Keywords

Convex-power condensing operator
Kuratowski measure of noncompactness
Mild solution
Nonlocal condition
Semilinear fractional differential equation

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10.2478/s13540-012-0041-0

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title = "Existence results for semilinear fractional differential equations via kuratowski measure of noncompactness",

abstract = "In this paper, we study the existence of mild solutions for a class of semilinear fractional differential equations with nonlocal conditions in Banach spaces. The results are obtained by using convex-power condensing operator and fixed point theory. An example is presented to illustrate the main result.",

keywords = "Convex-power condensing operator, Kuratowski measure of noncompactness, Mild solution, Nonlocal condition, Semilinear fractional differential equation",

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

year = "2012",

month = dec,

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AU - Jigen, Peng

AU - Jinghuai, Gao

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AB - In this paper, we study the existence of mild solutions for a class of semilinear fractional differential equations with nonlocal conditions in Banach spaces. The results are obtained by using convex-power condensing operator and fixed point theory. An example is presented to illustrate the main result.

KW - Convex-power condensing operator

KW - Kuratowski measure of noncompactness

KW - Mild solution

KW - Nonlocal condition

KW - Semilinear fractional differential equation

UR - https://www.scopus.com/pages/publications/84869188711

U2 - 10.2478/s13540-012-0041-0

DO - 10.2478/s13540-012-0041-0

M3 - 文章

AN - SCOPUS:84869188711

SN - 1311-0454

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EP - 610

JO - Fractional Calculus and Applied Analysis

JF - Fractional Calculus and Applied Analysis

IS - 4

ER -

Existence results for semilinear fractional differential equations via kuratowski measure of noncompactness

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