Existence, stability, and numerical simulation of a nonlinear brain tumor model
Abstract This research introduces a novel mathematical model for brain tumor growth incorporating a fractal fractional derivative. We investigate the existence and uniqueness of solutions for this model, as well as its stability properties, using a novel contraction known as the generalized α − ψ $\...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-04-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-025-03276-9 |
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| _version_ | 1849311038780997632 |
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| author | Hojjat Afshari Sabileh Kalantari Mehrdad Anvari H. R. Marasi |
| author_facet | Hojjat Afshari Sabileh Kalantari Mehrdad Anvari H. R. Marasi |
| author_sort | Hojjat Afshari |
| collection | DOAJ |
| description | Abstract This research introduces a novel mathematical model for brain tumor growth incorporating a fractal fractional derivative. We investigate the existence and uniqueness of solutions for this model, as well as its stability properties, using a novel contraction known as the generalized α − ψ $\alpha -\psi $ -Geraghty-type contraction. Our stability analysis is based on the Ulam–Hyers framework. The findings presented in this study constitute a significant contribution to the field. |
| format | Article |
| id | doaj-art-9012c4eb128e4f10a89f6dd0463c5868 |
| institution | Kabale University |
| issn | 1029-242X |
| language | English |
| publishDate | 2025-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj-art-9012c4eb128e4f10a89f6dd0463c58682025-08-20T03:53:32ZengSpringerOpenJournal of Inequalities and Applications1029-242X2025-04-012025112210.1186/s13660-025-03276-9Existence, stability, and numerical simulation of a nonlinear brain tumor modelHojjat Afshari0Sabileh Kalantari1Mehrdad Anvari2H. R. Marasi3Department of Mathematics, Faculty of Science, University of BonabDepartment of Mathematics, Faculty of Science, University of BonabDepartment of Applied Mathematics, Faculty of Mathematics, Statistics and Computer Science, University of TabrizDepartment of Applied Mathematics, Faculty of Mathematics, Statistics and Computer Science, University of TabrizAbstract This research introduces a novel mathematical model for brain tumor growth incorporating a fractal fractional derivative. We investigate the existence and uniqueness of solutions for this model, as well as its stability properties, using a novel contraction known as the generalized α − ψ $\alpha -\psi $ -Geraghty-type contraction. Our stability analysis is based on the Ulam–Hyers framework. The findings presented in this study constitute a significant contribution to the field.https://doi.org/10.1186/s13660-025-03276-9Fractal-fractional derivativeMathematical modelingFixed point theoryStabilityExistence and uniquenessBrain tumor |
| spellingShingle | Hojjat Afshari Sabileh Kalantari Mehrdad Anvari H. R. Marasi Existence, stability, and numerical simulation of a nonlinear brain tumor model Journal of Inequalities and Applications Fractal-fractional derivative Mathematical modeling Fixed point theory Stability Existence and uniqueness Brain tumor |
| title | Existence, stability, and numerical simulation of a nonlinear brain tumor model |
| title_full | Existence, stability, and numerical simulation of a nonlinear brain tumor model |
| title_fullStr | Existence, stability, and numerical simulation of a nonlinear brain tumor model |
| title_full_unstemmed | Existence, stability, and numerical simulation of a nonlinear brain tumor model |
| title_short | Existence, stability, and numerical simulation of a nonlinear brain tumor model |
| title_sort | existence stability and numerical simulation of a nonlinear brain tumor model |
| topic | Fractal-fractional derivative Mathematical modeling Fixed point theory Stability Existence and uniqueness Brain tumor |
| url | https://doi.org/10.1186/s13660-025-03276-9 |
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