Asymptotic Stability and Dependency of a Class of Hybrid Functional Integral Equations
Here, we discuss the solvability of a class of hybrid functional integral equations by applying Darbo’s fixed point theorem and the technique of the measure of noncompactness (MNC). This study has been located in space BC <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML&...
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MDPI AG
2023-09-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/18/3953 |
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| author | Ahmed M. A. El-Sayed Malak M. S. Ba-Ali Eman M. A. Hamdallah |
| author_facet | Ahmed M. A. El-Sayed Malak M. S. Ba-Ali Eman M. A. Hamdallah |
| author_sort | Ahmed M. A. El-Sayed |
| collection | DOAJ |
| description | Here, we discuss the solvability of a class of hybrid functional integral equations by applying Darbo’s fixed point theorem and the technique of the measure of noncompactness (MNC). This study has been located in space BC <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><msub><mi>R</mi><mo>+</mo></msub><mo>)</mo></mrow></semantics></math></inline-formula>. Furthermore, we prove the asymptotic stability of the solution of our problem on <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>R</mi><mo>+</mo></msub><mo>.</mo></mrow></semantics></math></inline-formula> We introduce the idea of asymptotic dependency of the solutions on some parameters for that class. Moreover, general discussion, examples, and remarks are demonstrated. |
| first_indexed | 2024-03-10T22:30:08Z |
| format | Article |
| id | doaj.art-8b62d34295ee49428eb0a58671602c0a |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T22:30:08Z |
| publishDate | 2023-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-8b62d34295ee49428eb0a58671602c0a2023-11-19T11:49:53ZengMDPI AGMathematics2227-73902023-09-011118395310.3390/math11183953Asymptotic Stability and Dependency of a Class of Hybrid Functional Integral EquationsAhmed M. A. El-Sayed0Malak M. S. Ba-Ali1Eman M. A. Hamdallah2Faculty of Science, Alexandria University, Alexandria 21521, EgyptFaculty of Science, Princess Nourah Bint Abdul Rahman University, Riyadh 11671, Saudi ArabiaFaculty of Science, Alexandria University, Alexandria 21521, EgyptHere, we discuss the solvability of a class of hybrid functional integral equations by applying Darbo’s fixed point theorem and the technique of the measure of noncompactness (MNC). This study has been located in space BC <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><msub><mi>R</mi><mo>+</mo></msub><mo>)</mo></mrow></semantics></math></inline-formula>. Furthermore, we prove the asymptotic stability of the solution of our problem on <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>R</mi><mo>+</mo></msub><mo>.</mo></mrow></semantics></math></inline-formula> We introduce the idea of asymptotic dependency of the solutions on some parameters for that class. Moreover, general discussion, examples, and remarks are demonstrated.https://www.mdpi.com/2227-7390/11/18/3953hybrid functional equationmeasure of noncompactnessasymptotic stability and dependency |
| spellingShingle | Ahmed M. A. El-Sayed Malak M. S. Ba-Ali Eman M. A. Hamdallah Asymptotic Stability and Dependency of a Class of Hybrid Functional Integral Equations Mathematics hybrid functional equation measure of noncompactness asymptotic stability and dependency |
| title | Asymptotic Stability and Dependency of a Class of Hybrid Functional Integral Equations |
| title_full | Asymptotic Stability and Dependency of a Class of Hybrid Functional Integral Equations |
| title_fullStr | Asymptotic Stability and Dependency of a Class of Hybrid Functional Integral Equations |
| title_full_unstemmed | Asymptotic Stability and Dependency of a Class of Hybrid Functional Integral Equations |
| title_short | Asymptotic Stability and Dependency of a Class of Hybrid Functional Integral Equations |
| title_sort | asymptotic stability and dependency of a class of hybrid functional integral equations |
| topic | hybrid functional equation measure of noncompactness asymptotic stability and dependency |
| url | https://www.mdpi.com/2227-7390/11/18/3953 |
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