Fractional hybrid inclusion version of the Sturm–Liouville equation

Advances in Difference Equations

Shahram Rezapour¹  Zohreh Zeinalabedini Charandabi² 

[1] Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran;Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan;Department of Mathematics, Sarab Branch, Islamic Azad University, Sarab, Iran;

关键词: Fractional hybrid equations;    Inclusion problem;    Integral hybrid boundary condition;    The Caputo derivative;    The Sturm–Liouville equation;    34A08;    34A12;   

DOI  :  10.1186/s13662-020-03011-2

来源: Springer

【 摘 要 】

The Sturm–Liouville equation is one of classical famous differential equations which has been studied from different of views in the literature. In this work, we are going to review its fractional hybrid inclusion version. In this way, we investigate two fractional hybrid Sturm–Liouville differential inclusions with multipoint and integral hybrid boundary conditions. Also, we provide two examples to illustrate our main results.

【 授权许可】

CC BY