Singular fractional integro-differential inequalities and applications

In this article, fractional integro-differential inequalities with singular coefficients have been considered. The bounds obtained for investigating the behavior of the solution of a class of singular nonlinear fractional differential equations has been used, some applications are provided. 2010 Mat...

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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2011; no. 1; pp. 1 - 18
Main Authors Al-Jaser, Asma, Furati, Khaled M
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 10.11.2011
Springer Nature B.V
BioMed Central Ltd
Subjects
Analysis
Applications of Mathematics
Classification
Differential equations
Inequalities
Mathematical analysis
Mathematics
Mathematics and Statistics
Nonlinearity
fractional differential equations
Riemann-Liouville integral
Cauchy-type problem
singular differential equations
Bihari inequality
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Summary:In this article, fractional integro-differential inequalities with singular coefficients have been considered. The bounds obtained for investigating the behavior of the solution of a class of singular nonlinear fractional differential equations has been used, some applications are provided. 2010 Mathematics Subject Classification : 26A33; 34A08; 34A34; 45J05.
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ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/1029-242X-2011-110