Akgül, AliÜlgül, EnverSakar, NecibullahBilgi, BüşraEker, Aklime2024-12-242024-12-2420231110-0168https://doi.org10.1016/j.aej.2023.08.064https://hdl.handle.net/20.500.12604/3886Integral transforms are a versatile mathematical technique that can be applied in a wide range of science and engineering fields. We consider the general integral transform with the Caputo derivative and Constant Proportional Caputo derivative in this work. We present some applications to show the effect of the general integral transform with different fractional derivatives. © 2023 The Author(s)eninfo:eu-repo/semantics/openAccessCaputo derivativeIntegral equationLaplace transformsNew general integral transformsProportional Caputo derivativeNew applications of the new general integral transform method with different fractional derivativesArticle80498505Q12-s2.0-8516990258110.1016/j.aej.2023.08.064