Title of article :
A Study on the Existence and Uniqueness of Uncertain Fractional Differential Equations with Monotone Condition
Author/Authors :
Gholamian ، Mohammad Department of Mathematics - Islamic Azad University, West Tehran Branch , Siah mansouri ، Samira University of applied science and technology , Fattahi ، Hedayat Department of Mathematics - Islamic Azad University, Marivan Branch , Sangian ، Masoumeh University of applied science and technology
Abstract :
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.
Keywords :
Uncertainty theory , Fractional derivative , Uncertain fractional differential equation , Existence , Uniqueness
Journal title :
Global Analysis and Discrete Mathematics
Journal title :
Global Analysis and Discrete Mathematics
