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Progress in Fractional Differentiation and Applications
An International Journal
               
 
 
 
 
 
 
 
 
 
 

Content
 

Volumes > Vol. 11 > No. 3

 
   

Exploring Impulsive Fractional Derivatives with Mixed-Delay Integral Boundary Constraints

PP: 595-611
doi:10.18576/pfda/110311
Author(s)
Kottakkaran Sooppy Nisar, Muhannad Ibrahim Al-Shartab, Chokkalingam Ravichandran, Abdel-Haleem Abdel-Aty, Mohamed R. Eid,
Abstract
This paper presents a systematic approach to investigating the existence, uniqueness, and stability of fractional impulsive differential equations through the Atangana-Baleanu derivative, facilitating the application of Schafer’s fixed-point theorem and the Banach fixed-point theorem. Also, the stability results are thoroughly analyzed, with integral boundary conditions and mixed delays enriching the depth and rigor of the investigation.

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