Ahmad, BashirAlghanmi, MadeahaNieto Roig, Juan JoséAlsaedi, Ahmed2020-04-062020-04-062019Ahmad, B., Alghanmi, M., Nieto, J.J. et al. On impulsive nonlocal integro-initial value problems involving multi-order Caputo-type generalized fractional derivatives and generalized fractional integrals. Adv Differ Equ 2019, 247 (2019). https://doi.org/10.1186/s13662-019-2183-4http://hdl.handle.net/10347/21167In this paper, we present sufficient criteria ensuring the existence and uniqueness of solutions for nonlinear impulsive multi-order Caputo-type generalized fractional differential equations supplemented with nonlocal integro-initial value conditions involving generalized fractional integrals. Extremal solutions for the given problem are also discussed. The main tools of our study include Krasnoselskii’s fixed point theorem, Banach contraction mapping principle and monotone iterative technique. Examples are constructed for illustrating the obtained resultseng© The Author(s) 2019. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/),which permits unrestricted use, distribution, and reproduction in anymedium, providedyou give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were madehttp://creativecommons.org/licenses/by/4.0/Multi-order fractional derivativesImpulseCaputo-type generalized fractional derivativeFractional integralExtremal solutionsjournal article10.1186/s13662-019-2183-41687-1847open access