Attia, NourhaneAkgul, AliSeba, DjamilaNour, Abdelkader2024-12-242024-12-2420230170-42141099-1476https://doi.org/10.1002/mma.6940https://hdl.handle.net/20.500.12604/5905This research work is concerned with the new numerical solutions of some essential fractional cancer tumor models, which are investigated by using reproducing kernel Hilbert space method (RKHSM). The most valuable advantage of the RKHSM is its ease of use and its quick calculation to obtain the numerical solutions of the considered problem. We make use of the Caputo fractional derivative. Our main tools are reproducing kernel theory, some important Hilbert spaces, and a normal basis. We illustrate the high competency and capacity of the suggested approach through the convergence analysis. The computational results clearly show the superior performance of the RKHSM.eninfo:eu-repo/semantics/closedAccessCaputo fractional derivativefractional cancer tumor modelsGram-Schmidt orthogonalization processreproducing kernel Hilbert space methodArticle46776327653Q1WOS:000578711800001Q12-s2.0-8509245408410.1002/mma.6940