Analysis study of hybrid Caputo-Atangana-Baleanu fractional pantograph system under integral boundary conditions
This manuscript investigates the qualitative analysis of a new hybrid fractional pantograph system involving AtanganaBaleanu-Caputo derivatives, complemented by hybrid integral boundary conditions. Dhage’s fixed point theorem is employed to investigate the existence theorem of the solutions, while...
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2025-04-01
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| Series: | Mathematical Modelling and Analysis |
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| Online Access: | https://bme.vgtu.lt/index.php/MMA/article/view/22328 |
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| author | Sabri T. M. Thabet Imed Kedim Mohammad Esmael Samei Thabet Abdeljawad |
| author_facet | Sabri T. M. Thabet Imed Kedim Mohammad Esmael Samei Thabet Abdeljawad |
| author_sort | Sabri T. M. Thabet |
| collection | DOAJ |
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This manuscript investigates the qualitative analysis of a new hybrid fractional pantograph system involving AtanganaBaleanu-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.
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| format | Article |
| id | doaj-art-47d87e8ab5f44a219d423d2cfa643bf5 |
| institution | OA Journals |
| issn | 1392-6292 1648-3510 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj-art-47d87e8ab5f44a219d423d2cfa643bf52025-08-20T02:24:51ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102025-04-0130210.3846/mma.2025.22328Analysis study of hybrid Caputo-Atangana-Baleanu fractional pantograph system under integral boundary conditionsSabri T. M. Thabet0Imed Kedim1Mohammad Esmael Samei2Thabet Abdeljawad3Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, 602105 Chennai, Tamil Nadu, India; Department of Mathematics, Radfan University College, University of Lahej, Lahej, Yemen; Department of Mathematics, College of Science, Korea University, 145 Anam-ro, Seongbuk-gu, 02814 Seoul, Republic of KoreaDepartment of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, 11942 Al-Kharj, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, IranDepartment of Mathematics and Sciences, Prince Sultan University, 11586 Riyadh, Saudi Arabia; Department of Medical Research, China Medical University, 40402 Taichung, Taiwan; Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Garankuwa, 0204 Medusa, South Africa; Department of Mathematics, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, 02447 Seoul, Korea This manuscript investigates the qualitative analysis of a new hybrid fractional pantograph system involving AtanganaBaleanu-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. https://bme.vgtu.lt/index.php/MMA/article/view/22328Caputo-Atangana-Baleanu operatorcoupled hybrid fractional differential systempantograph problemDhage and Perov techniquesLipschitzian’s matrix |
| spellingShingle | Sabri T. M. Thabet Imed Kedim Mohammad Esmael Samei Thabet Abdeljawad Analysis study of hybrid Caputo-Atangana-Baleanu fractional pantograph system under integral boundary conditions Mathematical Modelling and Analysis Caputo-Atangana-Baleanu operator coupled hybrid fractional differential system pantograph problem Dhage and Perov techniques Lipschitzian’s matrix |
| title | Analysis study of hybrid Caputo-Atangana-Baleanu fractional pantograph system under integral boundary conditions |
| title_full | Analysis study of hybrid Caputo-Atangana-Baleanu fractional pantograph system under integral boundary conditions |
| title_fullStr | Analysis study of hybrid Caputo-Atangana-Baleanu fractional pantograph system under integral boundary conditions |
| title_full_unstemmed | Analysis study of hybrid Caputo-Atangana-Baleanu fractional pantograph system under integral boundary conditions |
| title_short | Analysis study of hybrid Caputo-Atangana-Baleanu fractional pantograph system under integral boundary conditions |
| title_sort | analysis study of hybrid caputo atangana baleanu fractional pantograph system under integral boundary conditions |
| topic | Caputo-Atangana-Baleanu operator coupled hybrid fractional differential system pantograph problem Dhage and Perov techniques Lipschitzian’s matrix |
| url | https://bme.vgtu.lt/index.php/MMA/article/view/22328 |
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