Kuratowski measure of noncompactness and integro-differential equations in Banach spaces
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Authors
Mariam B Traore
- Des Techniques et des Technologies de Bamako, Ecole Doctorale des Sciences et Technologies du Mali, Universite des Sciences, B.P. E2528, Bamako, Mali.
Ouateni Diallo
- Des Techniques et des Technologies de Bamako, Ecole Doctorale des Sciences et Technologies du Mali, Universite des Sciences, B.P. E2528, Bamako, Mali.
Mamadou Abdoul Diop
- Departement de Mathematiques, Universite Gaston Berger de Saint-Louis, UFR SAT, B.P. 234, Saint-Louis, Senegal.
Abstract
This paper focuses on the existence of mild solutions in Banach space for a first order semi-linear integro-differential equation. The results are achieved with the fixed-point theorem and Kuratowski measure of noncompactness. We conclude this study with an example to illustrate our findings.
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ISRP Style
Mariam B Traore, Ouateni Diallo, Mamadou Abdoul Diop, Kuratowski measure of noncompactness and integro-differential equations in Banach spaces, Journal of Nonlinear Sciences and Applications, 14 (2021), no. 2, 109--117
AMA Style
Traore Mariam B, Diallo Ouateni, Diop Mamadou Abdoul, Kuratowski measure of noncompactness and integro-differential equations in Banach spaces. J. Nonlinear Sci. Appl. (2021); 14(2):109--117
Chicago/Turabian Style
Traore, Mariam B, Diallo, Ouateni, Diop, Mamadou Abdoul. "Kuratowski measure of noncompactness and integro-differential equations in Banach spaces." Journal of Nonlinear Sciences and Applications, 14, no. 2 (2021): 109--117
Keywords
- Integro-differential equation
- mild solution
- fixed point
- Kuratowski measure of noncompactness
- resolvent operator
MSC
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