Damghan University Press Analytical and Numerical Solutions for Nonlinear Equations 3060-785X 7 2 2022 09 01 A Study on the Existence and Uniqueness of Uncertain Fractional Differential Equations with Monotone Condition 229 241 331 10.22128/gadm.2022.632.1085 EN Mohammad Gholamian Department of Mathematics, West Tehran Branch, Islamic Azad University, Tehran, Iran. Samira Siah Mansouri University of applied science and technology, central of peechkar, Pakdasht, Iran. Hedayat Fattahi Department of Mathematics, Marivan Branch, Islamic Azad University, Marivan, Iran. Masoumeh Sangian University of applied science and technology, central of peechkar, Varamin, Iran. Journal Article 2022 12 13 The aim of this paper is to investigate the existence and uniqueness of solutions to uncertain fractional differential equations proposed by Canonical Liu’s process. To this end, we provide and prove a novel existence and uniqueness theorem for uncertain fractional differential equations under Local Lipschitz and monotone conditions is provided and proved. This result helps us to consider and analyze solutions to a wide range of nonlinear uncertain fractional differential equations driven by Canonical’s process to be considered and analyzed. https://ansne.du.ac.ir/article_331_0fee37ee4a402e9c08f1bf6366c7b6d6.pdf