Mathematical Evaluation and Dynamic Transmissions of a Tumor Gr-owth Model Using a Generalized Singular and Non-Local Kernel

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dc.contributor.authorSingh, Rakhi
dc.contributor.authorMishra, Jyoti
dc.contributor.authorAkgul, Ali
dc.contributor.authorGupta, Vijay Kumar
dc.date.accessioned2024-12-24T19:33:56Z
dc.date.available2024-12-24T19:33:56Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractCurrently, fractional calculus plays a critical role in improving control techniques, analyzing disease transmission dynamics, and solving several other real-world problems. This research investigates the time-fractional tumor growth model using an innovative approach. The new modified fractional derivative operator employs a singular and non-local kernel, based on Atangana and Baleanu's concepts with the Caputo derivative. The tumor growth model used the newly modified fractional operator, which provided numerical simulation. With the introduction of this new operator, we provide significant analysis for the tumor growth epidemic model. We have proven the uniqueness and stability conditions of the model by utilizing Banach's fixed point theory and the Picard successive approximation method. Using the Laplace-Adomian decomposition method (LADM), we found the numerical solution to the Modified Atangana-Baleanu-Caputo derivative model. We have verified the convergence analysis of the suggested scheme. We ultimately utilize the suggested method to obtain numeric outcomes and simulations for the tumor growth model. The study investigates the effect of multiple biological variables on the transmission of tumor growth dynamics.
dc.identifier.doi10.37256/cm.5420244540
dc.identifier.endpage4308
dc.identifier.issn2705-1064
dc.identifier.issn2705-1056
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85207873598
dc.identifier.scopusqualityQ4
dc.identifier.startpage4285
dc.identifier.urihttps://doi.org/10.37256/cm.5420244540
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8334
dc.identifier.volume5
dc.identifier.wosWOS:001352635600011
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherUniversal Wiser Publisher
dc.relation.ispartofContemporary Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjecttumor growth model
dc.subjectladm
dc.subjectpicard iteration method
dc.subjectbanach's fixed-point theory
dc.subjectmabc derivative
dc.titleMathematical Evaluation and Dynamic Transmissions of a Tumor Gr-owth Model Using a Generalized Singular and Non-Local Kernel
dc.typeArticle

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