Coupled Fixed Point Theorem for the Generalized Langevin Equation with Four-Point and Strip Conditions
By considering a metric space with partially ordered sets, we employ the coupled fixed point type to scrutinize the uniqueness theory for the Langevin equation that included two generalized orders. We analyze our problem with four-point and strip conditions. The description of the rigid plate bounde...
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| Published in: | Advances in mathematical physics Vol. 2022; pp. 1 - 10 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
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Hindawi
23-11-2022
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| Abstract | By considering a metric space with partially ordered sets, we employ the coupled fixed point type to scrutinize the uniqueness theory for the Langevin equation that included two generalized orders. We analyze our problem with four-point and strip conditions. The description of the rigid plate bounded by a Newtonian fluid is provided as an application of our results. The exact solution of this problem and approximate solutions are compared. |
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| AbstractList | By considering a metric space with partially ordered sets, we employ the coupled fixed point type to scrutinize the uniqueness theory for the Langevin equation that included two generalized orders. We analyze our problem with four-point and strip conditions. The description of the rigid plate bounded by a Newtonian fluid is provided as an application of our results. The exact solution of this problem and approximate solutions are compared. |
| Author | Salem, Ahmed Mshary, Noorah |
| Author_xml | – sequence: 1 givenname: Ahmed orcidid: 0000-0002-8583-4228 surname: Salem fullname: Salem, Ahmed organization: Department of MathematicsFaculty of ScienceKing Abdulaziz UniversityP.O. Box 80203Jeddah 21589Saudi Arabiakau.edu.sa – sequence: 2 givenname: Noorah surname: Mshary fullname: Mshary, Noorah organization: Department of MathematicsFaculty of ScienceJazan UniversityP.O. Box 2097Jazan 45142Saudi Arabiajazanu.edu.sa |
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| ContentType | Journal Article |
| Copyright | Copyright © 2022 Ahmed Salem and Noorah Mshary. Copyright © 2022 Ahmed Salem and Noorah Mshary. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0 |
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| References | 22 23 24 25 26 27 28 29 A. A. Kilbas (30) 2006 10 32 11 12 13 14 15 16 17 I. Podlubny (31) 1999 19 M. Lewandowski (5) 2017; 65 1 2 3 4 6 F. Mainradi (18) 1996; 10 7 8 9 20 21 |
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| SubjectTerms | Boundary conditions Calculus Exact solutions Fixed points (mathematics) Investigations Metric space Newtonian fluids Ordinary differential equations Strip |
| Title | Coupled Fixed Point Theorem for the Generalized Langevin Equation with Four-Point and Strip Conditions |
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