EXISTENCE RESULTS AND CONTINUITY DEPENDENCE OF SOLUTIONS FOR FRACTIONAL EQUATIONS

被引：5
|
作者：
da Costa Sousa, Jose Vanterler [1 ]
机构：
[1] Univ Estadual Campinas, UNICAMP, Dept Appl Math, Imecc, R Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP, Brazil
来源：
DIFFERENTIAL EQUATIONS & APPLICATIONS | 2020年 / 12卷 / 04期
关键词：
Fractional differential equations; fractional integrodifferential; existence and uniqueness; estimate and continuous dependence; IMPULSIVE INTEGRODIFFERENTIAL EQUATIONS; BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATIONS; INTEGRAL-EQUATIONS; UNIQUENESS;
D O I：
10.7153/dea-2020-12-24
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using two fractional-order integral inequalities we investigate the existence and uniqueness of solutions of the fractional nonlinear Volterra integral equation and the fractional nonlinear integrodifferential equation in Banach space C-xi, using an adequate norm, parallel to center dot parallel to(xi,infinity). Besides, we study the solution estimate and investigate their continuous dependence.
引用
收藏
页码：377 / 396
页数：20
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