Existence Results for Fractional Integral Equations in Frechet Spaces

Said Baghdad

doi:10.33187/jmsm.1059716

EN

Existence Results for Fractional Integral Equations in Frechet Spaces

Abstract

The objective of this paper is to present results on the existence of solutions for a class of fractional integral equations in Fr\'{e}chet spaces of Banach space-valued functions on the unbounded interval. Our main tool is the technique of measures of noncompactness and fixed points theorems.

Keywords

Fixed-point theorems , Frechet spaces , Hadamard--Volterra--Stieltjes integral equations , Measure of noncompactness

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Said Baghdad ^*
0000-0001-7165-670X
Algeria

Publication Date

December 1, 2022

Submission Date

January 18, 2022

Acceptance Date

September 5, 2022

Published in Issue

Year 2022 Volume: 5 Number: 3

DOI

https://doi.org/10.33187/jmsm.1059716

IZ

https://izlik.org/JA38BP49ME

APA

Baghdad, S. (2022). Existence Results for Fractional Integral Equations in Frechet Spaces. Journal of Mathematical Sciences and Modelling, 5(3), 105-112. https://doi.org/10.33187/jmsm.1059716

AMA

1.Baghdad S. Existence Results for Fractional Integral Equations in Frechet Spaces. Journal of Mathematical Sciences and Modelling. 2022;5(3):105-112. doi:10.33187/jmsm.1059716

Chicago

Baghdad, Said. 2022. “Existence Results for Fractional Integral Equations in Frechet Spaces”. Journal of Mathematical Sciences and Modelling 5 (3): 105-12. https://doi.org/10.33187/jmsm.1059716.

EndNote

Baghdad S (December 1, 2022) Existence Results for Fractional Integral Equations in Frechet Spaces. Journal of Mathematical Sciences and Modelling 5 3 105–112.

IEEE

[1]S. Baghdad, “Existence Results for Fractional Integral Equations in Frechet Spaces”, Journal of Mathematical Sciences and Modelling, vol. 5, no. 3, pp. 105–112, Dec. 2022, doi: 10.33187/jmsm.1059716.

ISNAD

Baghdad, Said. “Existence Results for Fractional Integral Equations in Frechet Spaces”. Journal of Mathematical Sciences and Modelling 5/3 (December 1, 2022): 105-112. https://doi.org/10.33187/jmsm.1059716.

JAMA

1.Baghdad S. Existence Results for Fractional Integral Equations in Frechet Spaces. Journal of Mathematical Sciences and Modelling. 2022;5:105–112.

MLA

Baghdad, Said. “Existence Results for Fractional Integral Equations in Frechet Spaces”. Journal of Mathematical Sciences and Modelling, vol. 5, no. 3, Dec. 2022, pp. 105-12, doi:10.33187/jmsm.1059716.

Vancouver

1.Said Baghdad. Existence Results for Fractional Integral Equations in Frechet Spaces. Journal of Mathematical Sciences and Modelling. 2022 Dec. 1;5(3):105-12. doi:10.33187/jmsm.1059716