A New Generalized Gronwall Inequality with a Double Singularity and Its Applications to Fractional Stochastic Differential Equations-Reference-Cited by-同舟云学术

A New Generalized Gronwall Inequality with a Double Singularity and Its Applications to Fractional Stochastic Differential Equations

Published:2019-07-15 Issue:6 Volume:37 Page:1042-1056
ISSN:0736-2994
Container-title:Stochastic Analysis and Applications
language:en
Short-container-title:Stochastic Analysis and Applications

Author:

Ding Xiao-Li¹,Daniel Cao-Labora²,Nieto Juan J.²

Affiliation:

1. Department of Mathematics, Xi’an Polytechnic University, Xi’an, China;

2. Departamento de Estatística, Análisis Matemático e Optimización, Instituto de Matemáticas, Universidade de Santiago de Compostela, Santiago de Compostela, Spain

Funder

Science and Technology Planning Project

Shaanxi Province

Innovative Talent Promotion Project of Shaanxi, China

Agencia Estatal de investigación (AEI) of Spain and FEDER

Publisher

Informa UK Limited

Subject

Applied Mathematics,Statistics, Probability and Uncertainty,Statistics and Probability

Link

https://www.tandfonline.com/doi/pdf/10.1080/07362994.2019.1640612

Reference34 articles.

1. Existence and Uniqueness for a Nonlinear Fractional Differential Equation

2. On almost automorphic mild solutions for fractional semilinear initial value problems

3. Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag–Leffler stability

4. Stability analysis of fractional-order complex-valued neural networks with time delays

5. Mittag-Leffler stability of fractional-order neural networks in the presence of generalized piecewise constant arguments

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