Akgul, AliBaleanu, DumitruUlgul, EnverSakar, NecibullahAttia, Nourhane2024-12-242024-12-2420242156-907X2158-5644https://doi.org/10.11948/20240001https://hdl.handle.net/20.500.12604/7318We explore the novel SUM integral transform method for solving ordinary and partial differential equations, offering an effective approach beyond conventional Laplace and Sumudu transforms. Using this method, we address various differential equations, deriving transfer functions for classical and fractional derivatives. The resultant transfer functions provide valuable insights into diverse mathematical models.eninfo:eu-repo/semantics/closedAccessSUM integral transformclassical derivativestransfer functionspole analysisfractional derivativesArticle14632823305N/AWOS:001334345300001Q12-s2.0-8520022974510.11948/20240001