A generalization of darbo’s fixed point theorem with an application to fractional integral equations

Said Beloul; M. Mursaleen; Arslan Hojet Ansari

doi:10.7153/jmi-2021-15-63

A generalization of darbo’s fixed point theorem with an application to fractional integral equations

Said Beloul^*, M. Mursaleen, Arslan Hojet Ansari

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In this paper, we give a new generalization of Darbo’s fixed point theorem of integral type. An application for the solvability of nonlinear fractional integral equation is given to illustrate our result.

Original language	English
Pages (from-to)	911-921
Number of pages	11
Journal	Journal of Mathematical Inequalities
Volume	15
Issue number	3
DOIs	https://doi.org/10.7153/jmi-2021-15-63
Publication status	Published - Sept 2021
Externally published	Yes

Keywords

Darbo’s theorem
Fixed point
fractional integral equation
measure of noncompactness

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10.7153/jmi-2021-15-63

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title = "A generalization of darbo{\textquoteright}s fixed point theorem with an application to fractional integral equations",

abstract = "In this paper, we give a new generalization of Darbo{\textquoteright}s fixed point theorem of integral type. An application for the solvability of nonlinear fractional integral equation is given to illustrate our result.",

keywords = "Darbo{\textquoteright}s theorem, Fixed point, fractional integral equation, measure of noncompactness",

author = "Said Beloul and M. Mursaleen and Ansari, {Arslan Hojet}",

year = "2021",

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AU - Beloul, Said

AU - Mursaleen, M.

AU - Ansari, Arslan Hojet

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N2 - In this paper, we give a new generalization of Darbo’s fixed point theorem of integral type. An application for the solvability of nonlinear fractional integral equation is given to illustrate our result.

AB - In this paper, we give a new generalization of Darbo’s fixed point theorem of integral type. An application for the solvability of nonlinear fractional integral equation is given to illustrate our result.

KW - Darbo’s theorem

KW - Fixed point

KW - fractional integral equation

KW - measure of noncompactness

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DO - 10.7153/jmi-2021-15-63

M3 - Article

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JO - Journal of Mathematical Inequalities

JF - Journal of Mathematical Inequalities

IS - 3

ER -

A generalization of darbo’s fixed point theorem with an application to fractional integral equations

Abstract

Keywords

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