Initial value problem for fractional evolution equations

This article is concerned with the existence of mild solutions to the initial value problem for a class of semilinear evolution equations with fractional order. New existence theorems are obtained by means of fixed point theorem for condensing maps. The results extend some related results in this di...

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Bibliographic Details
Published inAdvances in difference equations Vol. 2012; no. 1; pp. 1 - 10
Main Authors Fan, Hongxia, Mu, Jia
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 19.04.2012
Springer Nature B.V
BioMed Central Ltd
Subjects
Analysis
Classification
Condensing
Difference and Functional Equations
Difference equations
Evolution
Existence theorems
Functional Analysis
Initial value problems
Mathematical analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
fractional evolution equations
mild solutions
condensing maps
initial value problem
measure of noncompactness
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Summary:This article is concerned with the existence of mild solutions to the initial value problem for a class of semilinear evolution equations with fractional order. New existence theorems are obtained by means of fixed point theorem for condensing maps. The results extend some related results in this direction. Mathematics Subject Classification (2000) : 34A12; 35F25.
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ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/1687-1847-2012-49