Existence and Ulam stability results for nonlinear hybrid implicit Caputo fractional differential equations

Mathematica Moravica

Lachouri Adel¹  Djoudi Ahcene¹  Ardjouni Abdelouaheb² 

[1] University of Annaba, Department of Mathematics, Applied Mathematics Lab, Annaba, Algeria;University of Souk Ahras, Department of Mathematics and Informatics, Souk Ahras, Algeria;

关键词: implicit fractional differential equations;    caputo fractional derivatives;    fixed point theorems;    existence;    uniqueness;    ulam stability;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this paper, we study the existence, uniqueness and estimate of solutions for nonlinear hybrid implicit Caputo fractional differential equations by using the contraction mapping principle and the generalization of Gronwall's inequality. After that, we also establish the Ulam stability for the problem at hand. Finally, an example is given to illustrate this work.

【 授权许可】

Unknown