Kartal, AbdullahAnaç, HalilOlgun, Ali2025-01-212025-01-2120232146-538Xhttps://doi.org/10.17714/gumusfenbil.1281570https://search.trdizin.gov.tr/tr/yayin/detay/1201869https://hdl.handle.net/20.500.12587/21537The conformable time-fractional partial differential equations with proportional delay are studied using two new methods: the conformable fractional q-homotopy analysis transform method and the conformable Shehu homotopy perturbation method. The numerical solutions to this equation are graphed. Numerical simulations show that the proposed techniques are effective and trustworthy.eninfo:eu-repo/semantics/openAccessMatematikArticle13492793810.17714/gumusfenbil.12815701201869