A class of nonlocal integrodifferential equations via fractional derivative and its mild solutions

• Autorzy: Wang J. , Yan X. , Zhang X. H. , Wang T. M , Li X. Z.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we discuss a class of integrodifferential equations with nonlocal conditions via a fractional derivative of the type: [formula]. Some sufficient conditions for the existence of mild solutions for the above system are given. The main tools are the resolvent operators and fixed point theorems due to Banach's fixed point theorem, Krasnoselskii's fixed point theorem and Schaefer's fixed point theorem. At last, an example is given for demonstration.

Słowa kluczowe

EN

integrodifferential equations; fractional derivative; nonlocal conditions; resolvent operator and their norm continuity; fixed point theorem; mild solutions

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2011
• Tom: Vol. 31, no. 1
• Strony: 119--135
• Opis fizyczny: Bibliogr. 30 poz.

Twórcy

autor

Wang J.

autor

Yan X.

autor

Zhang X. H.

autor

Wang T. M

autor

Li X. Z.

• Guizhou University Department of Mathematics Guiyang, Guizhou 550025, P.R. China,

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