Kartal, AbdullahAnaç, HalilOlgun, Ali2025-01-212025-01-2120232564-7377https://doi.org/10.31466/kfbd.1191870https://search.trdizin.gov.tr/tr/yayin/detay/1193113https://hdl.handle.net/20.500.12587/21538By using two new methods, called the conformable fractional q-homotopy analysis transform method and the conformable Shehu homotopy perturbation method, the conformable time-fractional partial differential equations with proportional delay is analysed. The graphs of this equation's numerical solutions are drawn. According to numerical simulations, the proposed methods are effective and reliable.eninfo:eu-repo/semantics/openAccessFizikUygulamalıArticle13231033510.31466/kfbd.11918701193113