Baleanu, D.Zada, A.Gopal, T.N.Muthukumar, S.Muthaiah, S.2022-04-212025-09-182022-04-212025-09-182021Muthaiah, Subramanian...et al. (2021). "Existence of solutions for the Caputo-Hadamard fractional diσerential equations and inclusions", Journal of Physics: Conference Series, 2nd International Conference on Mathematical Modeling and Computational Methods in Science and Engineering, ICMMCMSE 2020Karaikudi, Sivagangai, Vol. 1850, No. 1.1742-65881742-6596https://doi.org/10.1088/1742-6596/1850/1/012122https://hdl.handle.net/20.500.12416/11774In this paper, concerning non-local multi-point and integral boundary conditions, we investigate the existence and uniqueness of solutions for Hadamard fractional diσerential equations (HFDEs) and inclusions. In the case of equations, we use the Krasnoselskii fixed point theorem for the sum of two operators and Banach fixed point theorem, and Leray-Schauder's alternative for multivalued maps and the fixed point theorem attributed to Covitz and Nadler for multivalued contractions for inclusions. Examples are given to clarify our main results. Finally, we discuss some variants of the given problem. © Published under licence by IOP Publishing Ltd.eninfo:eu-repo/semantics/openAccessConference Object10.1088/1742-6596/1850/1/0121222-s2.0-85112619792