Decay integral solutions for neutral fractional differential equations with infinite delays

DOI10.1002/mma.3172zbMath1322.34087OpenAlexW2016832360MaRDI QIDQ5259859

Nguyen Thanh Anh, Tran Dinh Ke

Publication date: 29 June 2015

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3172

zbMATH Keywords

fixed pointmeasure of noncompactnessinfinite delayresolvent operatorcondensing mapfractional neutral differential equationdecay solution

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Functional-differential equations in abstract spaces (34K30) Neutral functional-differential equations (34K40) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08) Functional-differential equations with fractional derivatives (34K37)

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a class of abstract neutral functional differential equations
• Abstract fractional Cauchy problems with almost sectorial operators
• Positive almost periodic solutions for a time-varying fishing model with delay
• Existence of mild solutions of some semilinear neutral fractional functional evolution equations with infinite delay
• Existence of mild solutions for fractional neutral evolution equations
• Semigroups of linear operators and applications to partial differential equations
• Functional differential equations with infinite delay
• Existence results for partial neutral functional differential equations with unbounded delay
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Invariance of the Reachable Set under Nonlinear Perturbations
• EXISTENCE RESULTS FOR ABSTRACT DEGENERATE NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS
• Abstract degenerate Cauchy problems in locally convex spaces

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