Semilinear fractional differential equations based on a new integral operator approach

Xiao Li Ding; Yao Lin Jiang

doi:10.1016/j.cnsns.2012.03.036

Semilinear fractional differential equations based on a new integral operator approach

Xiao Li Ding
, Yao Lin Jiang

数学与统计学院

Xi'an Jiaotong University

科研成果: 期刊稿件 › 文章 › 同行评审

17 引用（Scopus）

摘要

Semilinear fractional differential equations (SFDEs) often arise in some dynamical systems. In most of the existing literature, the fixed point theorems are used to prove the existence and uniqueness of the solutions of SFDEs. In this paper, we give a new way to prove the existence and uniqueness of the solutions by introducing a new integral operator associated with the Mittag-Leffler function.

源语言	英语
页（从-至）	5143-5150
页数	8
期刊	Communications in Nonlinear Science and Numerical Simulation
卷	17
期	12
DOI	https://doi.org/10.1016/j.cnsns.2012.03.036
出版状态	已出版 - 12月 2012

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10.1016/j.cnsns.2012.03.036

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keywords = "Integral inequality, Integral operator, Mittag-Leffler function, Semilinear fractional differential equation",

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AU - Jiang, Yao Lin

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AB - Semilinear fractional differential equations (SFDEs) often arise in some dynamical systems. In most of the existing literature, the fixed point theorems are used to prove the existence and uniqueness of the solutions of SFDEs. In this paper, we give a new way to prove the existence and uniqueness of the solutions by introducing a new integral operator associated with the Mittag-Leffler function.

KW - Integral inequality

KW - Integral operator

KW - Mittag-Leffler function

KW - Semilinear fractional differential equation

UR - https://www.scopus.com/pages/publications/84864403838

U2 - 10.1016/j.cnsns.2012.03.036

DO - 10.1016/j.cnsns.2012.03.036

M3 - 文章

AN - SCOPUS:84864403838

SN - 1007-5704

VL - 17

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JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 12

ER -

Semilinear fractional differential equations based on a new integral operator approach

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