Journal of Integral Equations and Applications

Stability for a class of fractional partial integro-differential equations

Nguyen Minh Chuong, Tran Dinh Ke, and Nguyen Nhu Quan

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In this paper, we deal with a class of fractional integro-differential equations involving impulsive effects and nonlocal conditions, whose principal part is of diffusion-wave type. Our aim is to establish some existence and stability results for integral solutions to the problem at hand by use of the fixed point approach.

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J. Integral Equations Applications Volume 26, Number 2 (2014), 145-170.

First available in Project Euclid: 21 July 2014

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Zentralblatt MATH identifier

Primary: 35B35: Stability 37C75: Stability theory 47H08: Measures of noncompactness and condensing mappings, K-set contractions, etc. 47H10: Fixed-point theorems [See also 37C25, 54H25, 55M20, 58C30]

Asymptotic stability impulsive effect integro-differential equation nonlocal condition condensing map fixed point theory measure of noncompactness MNC estimate


Chuong, Nguyen Minh; Ke, Tran Dinh; Quan, Nguyen Nhu. Stability for a class of fractional partial integro-differential equations. J. Integral Equations Applications 26 (2014), no. 2, 145--170. doi:10.1216/JIE-2014-26-2-145.

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