Chanon PromsakonIntesham AnsariMecieu WetsahAnoop KumarKulandhaivel KarthikeyanThanin Sitthiwirattham2025-03-102025-03-102024Mathematical Problems in Engineering1024123X10.1155/2024/68446862-s2.0-85185883555https://repository.dusit.ac.th//handle/123456789/4469In this article the existence as well as the uniqueness (EU) of the solutions for nonlinear multiorder fractional-differential equations (FDE) with local boundary conditions and fractional derivatives of different orders (Caputo and Riemann-Liouville) are covered. The existence result is derived from Krasnoselskii's fixed point theorem and its uniqueness is shown using the Banach contraction mapping principle. To illustrate the reliability of the results, two examples are given. © 2024 Chanon Promsakon et al.All Open Access; Gold Open AccessArticleScopus