Qualitative analysis and numerical simulation of ABC fractional impulsive differential systems with implicit nonlinear terms and integral boundary conditions

Abdulrahman A. Sharif; Maha Hamood; Kirtiwant P. Ghadle

doi:10.1371/journal.pone.0347738

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Open Access

Peer-reviewed

Research Article

Qualitative analysis and numerical simulation of ABC fractional impulsive differential systems with implicit nonlinear terms and integral boundary conditions

Abdulrahman A. Sharif ,

Roles Conceptualization, Data curation, Investigation, Methodology, Writing – original draft

* E-mail: abdul.sharef1985@hoduniv.net.ye

Affiliations Department of Mathematics, Hodeidah University, Al-Hudaydah, Yemen, Department of Mathematics, Taiz University, Taiz, Yemen

https://orcid.org/0000-0001-9076-3615

⨯
Maha Hamood,

Roles Data curation, Formal analysis, Writing – review & editing

Affiliations Department of Mathematics, Taiz University, Taiz, Yemen, Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, Maharashtra, India
⨯
Kirtiwant P. Ghadle

Roles Supervision

Affiliation Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, Maharashtra, India
⨯

Qualitative analysis and numerical simulation of ABC fractional impulsive differential systems with implicit nonlinear terms and integral boundary conditions

Abdulrahman A. Sharif,
Maha Hamood,
Kirtiwant P. Ghadle

Published: April 29, 2026
https://doi.org/10.1371/journal.pone.0347738

About the Authors

Abdulrahman A. Sharif

Roles Conceptualization, Data curation, Investigation, Methodology, Writing – original draft

* E-mail: abdul.sharef1985@hoduniv.net.ye

Affiliations Department of Mathematics, Hodeidah University, Al-Hudaydah, Yemen, Department of Mathematics, Taiz University, Taiz, Yemen

https://orcid.org/0000-0001-9076-3615

Maha Hamood

Roles Data curation, Formal analysis, Writing – review & editing

Affiliations Department of Mathematics, Taiz University, Taiz, Yemen, Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, Maharashtra, India

Kirtiwant P. Ghadle

Roles Supervision

Affiliation Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, Maharashtra, India

Competing Interests

The authors have declared that no competing interests exist.

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Integrals
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Impulsivity
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Differential equations
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System stability
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Fractional calculus
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Nonlinear systems
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Memory
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Nonlinear dynamics
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