Existence and uniqueness results of the AB-Caputo type derivative in impulsive fractional differential equations

In this work, we study the fractional differential equations solutions of Atangana-Baleanu-Caputo, which are subject to integral and impulsive boundary conditions. In addition, the Banach Contraction Mapping Principle and the Krasnoselskii fixed point theorems are employed for showing the existence and uniqueness of the theorems. An illustration is provided to support the outcomes of the results.

Authors

Publication Details

Journal
Journal of Mathematics and Computer Science
Published
2025-04-16
DOI
https://doi.org/10.22436/jmcs.039.04.01
Citations
1
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
Field-Weighted Citation Impact
3.73
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Existence and uniqueness results of the AB-Caputo type derivative in impulsive fractional differential equations

Belal Batiha, Barakah Almarri, Omar Bazighifan, Marappan Sathish Kumar et al.
1 citations
Journal of Mathematics and Computer Science
Nonlinear Differential Equations Analysis
3.73
article

Existence and uniqueness results of the AB-Caputo type derivative in impulsive fractional differential equations

Belal Batiha, Barakah Almarri, Omar Bazighifan, Marappan Sathish Kumar, K. Venkatachalam
article en
1 citations

Abstract

In this work, we study the fractional differential equations solutions of Atangana-Baleanu-Caputo, which are subject to integral and impulsive boundary conditions. In addition, the Banach Contraction Mapping Principle and the Krasnoselskii fixed point theorems are employed for showing the existence and uniqueness of the theorems. An illustration is provided to support the outcomes of the results.

Journal of Mathematics and Computer ScienceVol. 39(04)
Reduced inequalities
Openalex Percentile: Top 11%
Nonlinear Differential Equations Analysis
3.73
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.