Some fixed point results with the vector degree of nondensifiability in generalized Banach spaces and application on coupled Caputo fractional delay differential equations
In this work, we prove some fixed point results in generalized Banach spaces (GBS{\mathfrak{G}}{\mathfrak{B}}{\mathfrak{S}}s) in the sense of Perov using the vector degree of nondensifiability tools. The given result generalizes Darbo’s and Krasnoselskii’s theorems, which are connected with the vect...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2025-01-01
|
| Series: | Demonstratio Mathematica |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/dema-2024-0058 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832570421212348416 |
|---|---|
| author | Laksaci Noura Hasan Fady Boudaoui Ahmed Mustafa Zead Shatanawi Wasfi |
| author_facet | Laksaci Noura Hasan Fady Boudaoui Ahmed Mustafa Zead Shatanawi Wasfi |
| author_sort | Laksaci Noura |
| collection | DOAJ |
| description | In this work, we prove some fixed point results in generalized Banach spaces (GBS{\mathfrak{G}}{\mathfrak{B}}{\mathfrak{S}}s) in the sense of Perov using the vector degree of nondensifiability tools. The given result generalizes Darbo’s and Krasnoselskii’s theorems, which are connected with the vector measure of noncompactness. An existence result for coupled Caputo fractional delay differential equations in the GBSC([−τ,T],R)×C([−τ,T],R){\mathfrak{G}}{\mathfrak{B}}{\mathfrak{S}}\hspace{0.33em}{\mathcal{C}}\left(\left[-\tau ,T],{\mathbb{R}})\times {\mathcal{C}}\left(\left[-\tau ,T],{\mathbb{R}}) is given to show the significance and the applicability of our theoretical results. |
| format | Article |
| id | doaj-art-3f96e53293c64ca9a6e9cc8ece2aee45 |
| institution | Kabale University |
| issn | 2391-4661 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Demonstratio Mathematica |
| spelling | doaj-art-3f96e53293c64ca9a6e9cc8ece2aee452025-02-02T15:45:16ZengDe GruyterDemonstratio Mathematica2391-46612025-01-01581234007542510.1515/dema-2024-0058Some fixed point results with the vector degree of nondensifiability in generalized Banach spaces and application on coupled Caputo fractional delay differential equationsLaksaci Noura0Hasan Fady1Boudaoui Ahmed2Mustafa Zead3Shatanawi Wasfi4Laboratory of Mathematics Modeling and Applications, University of Adrar, National Road No. 06, 01000, Adrar, AlgeriaDepartment of Mathematics and Sciences, Prince Sultan University, Riyadh, Saudi ArabiaLaboratory of Mathematics Modeling and Applications, University of Adrar, National Road No. 06, 01000, Adrar, AlgeriaDepartment of Mathematics, Faculty of Science, The Hashemite University, P.O. Box 330127, Zarqa, 13133, JordanDepartment of Mathematics and Sciences, Prince Sultan University, Riyadh, Saudi ArabiaIn this work, we prove some fixed point results in generalized Banach spaces (GBS{\mathfrak{G}}{\mathfrak{B}}{\mathfrak{S}}s) in the sense of Perov using the vector degree of nondensifiability tools. The given result generalizes Darbo’s and Krasnoselskii’s theorems, which are connected with the vector measure of noncompactness. An existence result for coupled Caputo fractional delay differential equations in the GBSC([−τ,T],R)×C([−τ,T],R){\mathfrak{G}}{\mathfrak{B}}{\mathfrak{S}}\hspace{0.33em}{\mathcal{C}}\left(\left[-\tau ,T],{\mathbb{R}})\times {\mathcal{C}}\left(\left[-\tau ,T],{\mathbb{R}}) is given to show the significance and the applicability of our theoretical results.https://doi.org/10.1515/dema-2024-0058fixed pointdegree of v-nondensifiabilitygbscoupled caputo fractional delay differential equations47h0847h10 |
| spellingShingle | Laksaci Noura Hasan Fady Boudaoui Ahmed Mustafa Zead Shatanawi Wasfi Some fixed point results with the vector degree of nondensifiability in generalized Banach spaces and application on coupled Caputo fractional delay differential equations Demonstratio Mathematica fixed point degree of v-nondensifiability gbs coupled caputo fractional delay differential equations 47h08 47h10 |
| title | Some fixed point results with the vector degree of nondensifiability in generalized Banach spaces and application on coupled Caputo fractional delay differential equations |
| title_full | Some fixed point results with the vector degree of nondensifiability in generalized Banach spaces and application on coupled Caputo fractional delay differential equations |
| title_fullStr | Some fixed point results with the vector degree of nondensifiability in generalized Banach spaces and application on coupled Caputo fractional delay differential equations |
| title_full_unstemmed | Some fixed point results with the vector degree of nondensifiability in generalized Banach spaces and application on coupled Caputo fractional delay differential equations |
| title_short | Some fixed point results with the vector degree of nondensifiability in generalized Banach spaces and application on coupled Caputo fractional delay differential equations |
| title_sort | some fixed point results with the vector degree of nondensifiability in generalized banach spaces and application on coupled caputo fractional delay differential equations |
| topic | fixed point degree of v-nondensifiability gbs coupled caputo fractional delay differential equations 47h08 47h10 |
| url | https://doi.org/10.1515/dema-2024-0058 |
| work_keys_str_mv | AT laksacinoura somefixedpointresultswiththevectordegreeofnondensifiabilityingeneralizedbanachspacesandapplicationoncoupledcaputofractionaldelaydifferentialequations AT hasanfady somefixedpointresultswiththevectordegreeofnondensifiabilityingeneralizedbanachspacesandapplicationoncoupledcaputofractionaldelaydifferentialequations AT boudaouiahmed somefixedpointresultswiththevectordegreeofnondensifiabilityingeneralizedbanachspacesandapplicationoncoupledcaputofractionaldelaydifferentialequations AT mustafazead somefixedpointresultswiththevectordegreeofnondensifiabilityingeneralizedbanachspacesandapplicationoncoupledcaputofractionaldelaydifferentialequations AT shatanawiwasfi somefixedpointresultswiththevectordegreeofnondensifiabilityingeneralizedbanachspacesandapplicationoncoupledcaputofractionaldelaydifferentialequations |