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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Abstract

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.

Article information

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

Dates
First available in Project Euclid: 21 July 2014

Permanent link to this document
https://projecteuclid.org/euclid.jiea/1405949660

Digital Object Identifier
doi:10.1216/JIE-2014-26-2-145

Mathematical Reviews number (MathSciNet)
MR3233516

Zentralblatt MATH identifier
1301.34095

Subjects
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]

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

Citation

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. https://projecteuclid.org/euclid.jiea/1405949660


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