Fractional differential equations with causal operators

Advances in Difference Equations

Tadeusz Jankowski¹ 

[1] Department of Differential Equations and Applied Mathematics, Gdansk University of Technology, Gdańsk, Poland

关键词: fractional differential equations;    causal operators;    Mittag-Leffler functions;    existence of solutions;    26A33;   

DOI  :  10.1186/s13662-015-0528-1

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We study fractional differential equations with causal operators. The existence of solutions is obtained by applying the successive approximate method. Some applications are discussed including also the case when causal operator Q is a linear operator. Examples illustrate some results.

【 授权许可】

CC BY