Existence and approximation of solutions to nonlocal boundary value problems for fractional differential inclusions

Fixed Point Theory and Applications

M. Kamenskii¹  G. Petrosyan²  V. Obukhovskii²  Jen-Chih Yao³ 

[1] Faculty of Mathematics, Voronezh State University;Faculty of Physics and Mathematics, Voronezh State Pedagogical University;Research Center for Interneural Computing, China Medical University Hospital, China Medical University;

关键词: Fractional differential equation;    Semilinear differential equation;    Cauchy problem;    Approximation;    Semidiscretization;    Index of the solution set;   

DOI  :  10.1186/s13663-018-0652-1

来源: DOAJ

【 摘 要 】

Abstract We study a semilinear fractional order differential inclusion in a separable Banach space E of the form DqCx(t)∈Ax(t)+F(t,x(t)),t∈[0,T], $$ {}^{C}D^{q}x(t)\in Ax(t)+ F\bigl(t,x(t)\bigr),\quad t\in [0,T], $$ where DqC ${}^{C}D^{q}$ is the Caputo fractional derivative of order 0

【 授权许可】

Unknown