Analysis study of hybrid Caputo-Atangana-Baleanu fractional pantograph system under integral boundary conditions.
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| Title: | Analysis study of hybrid Caputo-Atangana-Baleanu fractional pantograph system under integral boundary conditions. |
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| Authors: | Thabet, Sabri T. M.1,2,3 th.sabri@yahoo.com, Kedim, Imed4, Samei, Mohammad Esmael5, Abdeljawad, Thabet6,7,8,9 tabdeljawad@psu.edu.sa |
| Source: | Mathematical Modelling & Analysis. 2025, Vol. 30 Issue 2, p386-404. 19p. |
| Subjects: | Existence theorems, Pantograph, Nonlinear analysis, Integrals, Manuscripts |
| Abstract: | This manuscript investigates the qualitative analysis of a new hybrid fractional pantograph system involving Atangana- Baleanu-Caputo derivatives, complemented by hybrid integral boundary conditions. Dhage's fixed point theorem is employed to investigate the existence theorem of the solutions, while uniqueness is proven by using Perov's approach and Lipschitz's matrix. The Hyers-Ulam (HU) stability is also demonstrated using the Lipschitz's matrix and techniques from nonlinear analysis. Finally, illustrative example is enhanced to examine the effectiveness of the obtained results [ABSTRACT FROM AUTHOR] |
| Copyright of Mathematical Modelling & Analysis is the property of Vilnius Gediminas Technical University and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 184862691 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Analysis study of hybrid Caputo-Atangana-Baleanu fractional pantograph system under integral boundary conditions. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Thabet%2C+Sabri+T%2E+M%2E%22">Thabet, Sabri T. M.</searchLink><relatesTo>1,2,3</relatesTo><i> th.sabri@yahoo.com</i><br /><searchLink fieldCode="AR" term="%22Kedim%2C+Imed%22">Kedim, Imed</searchLink><relatesTo>4</relatesTo><br /><searchLink fieldCode="AR" term="%22Samei%2C+Mohammad+Esmael%22">Samei, Mohammad Esmael</searchLink><relatesTo>5</relatesTo><br /><searchLink fieldCode="AR" term="%22Abdeljawad%2C+Thabet%22">Abdeljawad, Thabet</searchLink><relatesTo>6,7,8,9</relatesTo><i> tabdeljawad@psu.edu.sa</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Mathematical+Modelling+%26+Analysis%22">Mathematical Modelling & Analysis</searchLink>. 2025, Vol. 30 Issue 2, p386-404. 19p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Existence+theorems%22">Existence theorems</searchLink><br /><searchLink fieldCode="DE" term="%22Pantograph%22">Pantograph</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+analysis%22">Nonlinear analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Integrals%22">Integrals</searchLink><br /><searchLink fieldCode="DE" term="%22Manuscripts%22">Manuscripts</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This manuscript investigates the qualitative analysis of a new hybrid fractional pantograph system involving Atangana- Baleanu-Caputo derivatives, complemented by hybrid integral boundary conditions. Dhage's fixed point theorem is employed to investigate the existence theorem of the solutions, while uniqueness is proven by using Perov's approach and Lipschitz's matrix. The Hyers-Ulam (HU) stability is also demonstrated using the Lipschitz's matrix and techniques from nonlinear analysis. Finally, illustrative example is enhanced to examine the effectiveness of the obtained results [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Mathematical Modelling & Analysis is the property of Vilnius Gediminas Technical University and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.3846/mma.2025.22328 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 19 StartPage: 386 Subjects: – SubjectFull: Existence theorems Type: general – SubjectFull: Pantograph Type: general – SubjectFull: Nonlinear analysis Type: general – SubjectFull: Integrals Type: general – SubjectFull: Manuscripts Type: general Titles: – TitleFull: Analysis study of hybrid Caputo-Atangana-Baleanu fractional pantograph system under integral boundary conditions. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Thabet, Sabri T. M. – PersonEntity: Name: NameFull: Kedim, Imed – PersonEntity: Name: NameFull: Samei, Mohammad Esmael – PersonEntity: Name: NameFull: Abdeljawad, Thabet IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 04 Text: 2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 13926292 Numbering: – Type: volume Value: 30 – Type: issue Value: 2 Titles: – TitleFull: Mathematical Modelling & Analysis Type: main |
| ResultId | 1 |
