Controllability analysis for impulsive integro-differential equation via Atangana–Baleanu fractional derivative

Kalimuthu Kaliraj; Elumalai Thilakraj; Chokkalingam Ravichandran; Kottakkaran Sooppy Nisar

doi:10.1002/mma.7693

Controllability analysis for impulsive integro-differential equation via Atangana–Baleanu fractional derivative

Kalimuthu Kaliraj
, Elumalai Thilakraj
, Chokkalingam Ravichandran
, Kottakkaran Sooppy Nisar

Mathematics

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

In this work, we analyze the controllability for a certain classes of impulsive integro-differential equations (IIDEs) of fractional order via Atangana Baleanu derivative involving finite delay with initial and nonlocal conditions using Banach fixed point theorem.

Original language	English
Pages (from-to)	1350-1359
Number of pages	10
Journal	Mathematical Methods in the Applied Sciences
Volume	49
Issue number	3
DOIs	https://doi.org/10.1002/mma.7693
State	Published - Feb 2026

Keywords

contraction map and fixed-point theories
controllability
differential equations with impulses
fractional derivatives
integro-differential equations

Access to Document

10.1002/mma.7693

Cite this

@article{adf939c3566f4873ba29481f5241aaef,

title = "Controllability analysis for impulsive integro-differential equation via Atangana–Baleanu fractional derivative",

abstract = "In this work, we analyze the controllability for a certain classes of impulsive integro-differential equations (IIDEs) of fractional order via Atangana Baleanu derivative involving finite delay with initial and nonlocal conditions using Banach fixed point theorem.",

keywords = "contraction map and fixed-point theories, controllability, differential equations with impulses, fractional derivatives, integro-differential equations",

author = "Kalimuthu Kaliraj and Elumalai Thilakraj and Chokkalingam Ravichandran and \{Sooppy Nisar\}, Kottakkaran",

note = "Publisher Copyright: {\textcopyright} 2021 John Wiley \& Sons, Ltd.",

year = "2026",

month = feb,

doi = "10.1002/mma.7693",

language = "English",

volume = "49",

pages = "1350--1359",

journal = "Mathematical Methods in the Applied Sciences",

issn = "0170-4214",

publisher = "John Wiley and Sons Ltd",

number = "3",

}

TY - JOUR

T1 - Controllability analysis for impulsive integro-differential equation via Atangana–Baleanu fractional derivative

AU - Kaliraj, Kalimuthu

AU - Thilakraj, Elumalai

AU - Ravichandran, Chokkalingam

AU - Sooppy Nisar, Kottakkaran

PY - 2026/2

Y1 - 2026/2

N2 - In this work, we analyze the controllability for a certain classes of impulsive integro-differential equations (IIDEs) of fractional order via Atangana Baleanu derivative involving finite delay with initial and nonlocal conditions using Banach fixed point theorem.

AB - In this work, we analyze the controllability for a certain classes of impulsive integro-differential equations (IIDEs) of fractional order via Atangana Baleanu derivative involving finite delay with initial and nonlocal conditions using Banach fixed point theorem.

KW - contraction map and fixed-point theories

KW - controllability

KW - differential equations with impulses

KW - fractional derivatives

KW - integro-differential equations

UR - https://www.scopus.com/pages/publications/85113826402

U2 - 10.1002/mma.7693

DO - 10.1002/mma.7693

M3 - Article

AN - SCOPUS:85113826402

SN - 0170-4214

VL - 49

SP - 1350

EP - 1359

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 3

ER -

Controllability analysis for impulsive integro-differential equation via Atangana–Baleanu fractional derivative

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this