On approximate solutions for a class of semilinear fractional-order differential equations in Banach spaces

Fixexd point theory and applications

Mikhail Kamenskii¹  Valeri Obukhovskii²  Jen-Chih Yao²  Garik Petrosyan³ 

[1] Faculty of Mathematics, Voronezh State University, Voronezh, Russia;Faculty of Physics and Mathematics, Voronezh State Pedagogical University, Voronezh, Russia;RUDN University, Moscow, Russia

关键词: fractional differential equation;    semilinear differential equation;    Cauchy problem;    approximation;    semidiscretization;    index of the solution set;    fixed point;    condensing map;    measure of noncompactness;    34A45;    34A08;    34G20;    47H08;    47H10;    47H11;   

DOI  :  10.1186/s13663-017-0621-0

学科分类：数学（综合）

来源: SpringerOpen

【 授权许可】

CC BY