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Zbl 1216.45003
dos Santos, José Paulo Carvalho; Cuevas, Claudio; de Andrade, Bruno
Existence results for a fractional equation with state-dependent delay. (English)
[J] Adv. Difference Equ. 2011, Article ID 642013, 15 p. (2011). ISSN 1687-1847/e

Summary: We provide sufficient conditions for the existence of mild solutions for a class of abstract fractional integrodifferential equations with state-dependent delay. A concrete application in the theory of heat conduction in materials with memory is also given.
MSC 2000:
*45N05 Integral equations in abstract spaces
45J05 Integro-ordinary differential equations
35K05 Heat equation

Keywords: mild solutions; abstract fractional integrodifferential equations; state-dependent delay; heat conduction; materials with memory

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