Ulam-Hyers stability of a nonlinear fractional Volterra integro-differential equation

Sousa J. Vanterler da C.; Capelas de Oliveira E.

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Ulam-Hyers stability of a nonlinear fractional Volterra integro-differential equation

机译：非线性分数Volterra积分微分方程的ulam-hyers稳定性

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Using the psi-Hilfer fractional derivative, we present a study of the Hyers-Ulam-Rassias stability and the Hyers-Ulam stability of the fractional Volterra integro-differential equation by means of fixed-point method. (C) 2018 Elsevier Ltd. All rights reserved.

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《Applied mathematics letters》 |2018年第2018期|共7页
作者
Sousa J. Vanterler da C.; Capelas de Oliveira E.;
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作者单位

Univ Estadual Campinas Dept Appl Math Imecc BR-13083859 Campinas SP Brazil;

Univ Estadual Campinas Dept Appl Math Imecc BR-13083859 Campinas SP Brazil;

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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
psi-Hilfer fractional derivative; Hyers-Ulam-Rassias stability; Hyers-Ulam stability; Fractional Volterra; integro-differential equations; Fixed-point method;

机译：PSI-HILFER分数衍生物;HYER-ULAM-RASSIAS稳定性;HYER-ULAM稳定性;分数Volterra;积分微分方程;固定点法;

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1. Ulam-Hyers stability of a nonlinear fractional Volterra integro-differential equation [J] . Sousa J. Vanterler da C., Capelas de Oliveira E. Applied mathematics letters . 2018,第期

机译：非线性分数Volterra积分微分方程的ulam-hyers稳定性
2. Generalized Ulam-Hyers Stability of a Fractional System of Nonlinear Integro-Differential Equations [J] . Amele TAIEB International Journal of Open Problems in Computer Science and Mathematics . 2019,第1期

机译：非线性积分微分方程分数阶系统的广义Ulam-Hyers稳定性
3. A Nonlinear Fractional Problem with Mixed Volterra-Fredholm Integro-Differential Equation: Existence, Uniqueness, H-U-R Stability, and Regularity of Solutions [J] . Somia Khaldi, Rachid Mecheraoui, Aiman Mukheimer Journal of Function Spaces . 2020,第1期

机译：混合Volterra-Fredholm积分微分方程的非线性分数问题：存在，独特性，H-U-R稳定性和解决方案的规律性
4. Numerical solution of nonlinear Volterra integro-differential equations of fractional order by using Adomian Decomposition Method [C] . Wang Lifeng, Ma Yunpeng, Yang Yongqiang International Conference on Advanced Design and Manufacturing Engineering . 2014

机译：使用ADOMian分解法使用adomian round的非线性Volterra积分微分方程的数值解
5. CONTRIBUTIONS TO THE EXISTENCE AND STABILITY OF SOLUTIONS TO NONLINEAR VOLTERRA INTEGRAL EQUATIONS. [D] . WARD, JAMES ROBERT, JR. 1974

机译：非线性Volterra型积分方程解的存在性和稳定性的贡献。
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7. A Nonlinear Fractional Problem with Mixed Volterra-Fredholm Integro-Differential Equation: Existence, Uniqueness, H-U-R Stability, and Regularity of Solutions [O] . Somia Khaldi, Rachid Mecheraoui, Aiman Mukheimer 2020

机译：混合Volterra-Fredholm积分微分方程的非线性分数问题：存在，独特性，H-U-R稳定性和解决方案的规律性

Ulam-Hyers stability of a nonlinear fractional Volterra integro-differential equation

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