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Zbl 1228.35262
Agarwal, Ravi P.; De Andrade, Bruno; Siracusa, Giovana
On fractional integro-differential equations with state-dependent delay. (English)
[J] Comput. Math. Appl. 62, No. 3, 1143-1149 (2011). ISSN 0898-1221

Summary: We provide sufficient conditions for the existence of mild solutions for a class of fractional integro-differential equations with state-dependent delay. A concrete application in the theory of heat conduction in materials with memory is also given.
MSC 2000:
*35R11
45K05 Integro-partial differential equations
35Q79
26A33 Fractional derivatives and integrals (real functions)

Keywords: fractional integro-differential equations; sectorial operators; resolvent of operators; state-dependent delay

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