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A Study on the Existence and Uniqueness of Uncertain Fractional Differential Equations with Monotone Condition

Publish Year: 1401
Type: Journal paper
Language: English
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Document National Code:

JR_GADM-7-2_009

Index date: 19 September 2023

A Study on the Existence and Uniqueness of Uncertain Fractional Differential Equations with Monotone Condition 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.

A Study on the Existence and Uniqueness of Uncertain Fractional Differential Equations with Monotone Condition Keywords:

Uncertainty theory , Fractional derivative , Uncertain fractional differential equation , Existence , Uniqueness

A Study on the Existence and Uniqueness of Uncertain Fractional Differential Equations with Monotone Condition authors

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.