A note on a semilinear fractional differential equation of neutral type with infinite delay

DOI10.1155/2010/674630zbMath1194.34148OpenAlexW2074103496WikidataQ59254865 ScholiaQ59254865MaRDI QIDQ963120

Gisle M. Mophou, Gaston Mandata N'Guérékata

Publication date: 8 April 2010

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2010/674630

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) Neutral functional-differential equations (34K40) Functional-differential equations with fractional derivatives (34K37)

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Cites Work

• Blow-up and global existence of solutions to integral equations with infinite delay in Banach spaces
• Existence of the mild solution for some fractional differential equations with nonlocal conditions
• Basic theory of fractional differential equations
• Theory of fractional functional differential equations
• Nonlocal Cauchy problem for some fractional abstract integro-differential equations in Banach spaces
• Functional differential equations with infinite delay in Banach spaces
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Introduction to functional differential equations
• Exponential stability for abstract linear autonomous functional differential equations with infinite delay
• The Cauchy problem for nonlinear abstract functional differential equations with infinite delay
• Some probability densities and fundamental solutions of fractional evolution equations
• A note on semilinear abstract functional differential and integrodifferential equations with infinite delay.
• Theory and applications of partial functional differential equations
• Solvability of the Cauchy problem for infinite delay equations
• Existence results for fractional order functional differential equations with infinite delay
• Solutions to nonautonomous abstract functional equations with infinite delay
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