Akgul, Ali2024-12-242024-12-2420180960-07791873-2887https://doi.org/10.1016/j.chaos.2018.07.032https://hdl.handle.net/20.500.12604/6399Atangana and Baleanu gave a derivative with fractional order to search the valuable inquiries. We present a novel technique for investigating fractional differential equations including the Atangana-Baleanu fractional derivative in this paper. We give some examples for this method for equations of fractional initial value problems. (C) 2018 Elsevier Ltd. Allrights reserved.eninfo:eu-repo/semantics/closedAccessReproducing kernel hilbert space methodFractional differential equations with non-local and non-singular kernelReproducing kernel functionsArticle114478482Q1WOS:000445647600052Q12-s2.0-8505168314310.1016/j.chaos.2018.07.032