Evolution equations in Fréchet spaces

Said Abbas; Amaria Arara; Mouffak Benchohra; Fatima Mesri

doi:10.33187/jmsm.419917

EN

Evolution equations in Fréchet spaces

Abstract

This paper deals with the existence of mild solutions for a class of evolution equations. The technique used is a generalization of the classical Darbo fixed point theorem for Fr\'{e}chet spaces associated with the concept of measure of noncompactness.

Keywords

Densely defined operator,evolution system,fixed point,evolution equation,mild solution

References

[1] S. Abbas, W. Albarakati and M. Benchohra, Successive approximations for functional evolution equations and inclusions, J. Nonlinear Funct. Anal., Vol. 2017 (2017), Article ID 39, pp. 1-13.
[2] S. Abbas and M. Benchohra, Advanced Functional Evolution Equations and Inclusions, Springer, Cham, 2015.
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[4] S. Baghli and M. Benchohra, Global uniqueness results for partial functional and neutral functional evolution equations with infinite delay, Differential Integral Equations, 23 (2010), 31–50.
[5] S. Baghli and M. Benchohra, Multivalued evolution equations with infinite delay in Fr´echet spaces, Electron. J. Qual. Theo. Differ. Equ. 2008, No. 33, 24 pp.
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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Said Abbas This is me
Algeria

Amaria Arara This is me
Algeria

Mouffak Benchohra ^*
Algeria

Fatima Mesri This is me
Algeria

Publication Date

May 27, 2018

Submission Date

April 30, 2018

Acceptance Date

June 1, 2018

Published in Issue

Year 2018 Volume: 1 Number: 1

DOI

https://doi.org/10.33187/jmsm.419917

IZ

https://izlik.org/JA95EB78EU

APA

Abbas, S., Arara, A., Benchohra, M., & Mesri, F. (2018). Evolution equations in Fréchet spaces. Journal of Mathematical Sciences and Modelling, 1(1), 33-38. https://doi.org/10.33187/jmsm.419917

AMA

1.Abbas S, Arara A, Benchohra M, Mesri F. Evolution equations in Fréchet spaces. Journal of Mathematical Sciences and Modelling. 2018;1(1):33-38. doi:10.33187/jmsm.419917

Chicago

Abbas, Said, Amaria Arara, Mouffak Benchohra, and Fatima Mesri. 2018. “Evolution Equations in Fréchet Spaces”. Journal of Mathematical Sciences and Modelling 1 (1): 33-38. https://doi.org/10.33187/jmsm.419917.

EndNote

Abbas S, Arara A, Benchohra M, Mesri F (May 1, 2018) Evolution equations in Fréchet spaces. Journal of Mathematical Sciences and Modelling 1 1 33–38.

IEEE

[1]S. Abbas, A. Arara, M. Benchohra, and F. Mesri, “Evolution equations in Fréchet spaces”, Journal of Mathematical Sciences and Modelling, vol. 1, no. 1, pp. 33–38, May 2018, doi: 10.33187/jmsm.419917.

ISNAD

Abbas, Said - Arara, Amaria - Benchohra, Mouffak - Mesri, Fatima. “Evolution Equations in Fréchet Spaces”. Journal of Mathematical Sciences and Modelling 1/1 (May 1, 2018): 33-38. https://doi.org/10.33187/jmsm.419917.

JAMA

1.Abbas S, Arara A, Benchohra M, Mesri F. Evolution equations in Fréchet spaces. Journal of Mathematical Sciences and Modelling. 2018;1:33–38.

MLA

Abbas, Said, et al. “Evolution Equations in Fréchet Spaces”. Journal of Mathematical Sciences and Modelling, vol. 1, no. 1, May 2018, pp. 33-38, doi:10.33187/jmsm.419917.

Vancouver

1.Said Abbas, Amaria Arara, Mouffak Benchohra, Fatima Mesri. Evolution equations in Fréchet spaces. Journal of Mathematical Sciences and Modelling. 2018 May 1;1(1):33-8. doi:10.33187/jmsm.419917