On resonant mixed Caputo fractional differential equations

Boundary value problems

Adem Kılıçman¹  Assia Guezane-Lakoud² 

[1] Department of Mathematics and Institute for Mathematcal Research, Universiti Putra Malaysia, 43400, Serdang, Malaysia;Laboratory of Advanced Materials, Department of Mathematics, University Badji Mokhtar-Annaba, P.O. Box 12, 23000, Annaba, Algeria;

关键词: Boundary value problems (BVPs);    Mawhin’s coincidence degree;    Fractional derivatives;    Existence of solution;    Resonance;   

DOI  :  10.1186/s13661-020-01465-7

来源: Springer

【 摘 要 】

The purpose of this study is to discuss the existence of solutions for a boundary value problem at resonance generated by a nonlinear differential equation involving both right and left Caputo fractional derivatives. The proofs of the existence of solutions are mainly based on Mawhin’s coincidence degree theory. We provide an example to illustrate the main result.

【 授权许可】

CC BY