Controllability of impulsive nonlinear ψ-Hilfer fractional integro-differential equations

Sufficient conditions for controllability of impulsive nonlinear integro-differential equations with ψ-Hilfer fractional derivative are established. The result are obtained by using fractional calculus and Schaefer’s fixed point theorem. Finally, a numerical examples are then provided to demonstrate...

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Bibliographic Details
Published in:Results in control and optimization 2024-09, Vol.16, p.100455, Article 100455
Main Authors: Ahmed, A.M. Sayed, AL-Nahhas, Mahmoud A., Omar, Othman A.M., Chalishajar, Dimplekumar N., Ahmed, Hamdy M.
Format: Article
Language:English
Subjects:
Controllability
Fractional calculus
Integro-differential equations
ψ-Hilfer fractional differential equations
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Summary:Sufficient conditions for controllability of impulsive nonlinear integro-differential equations with ψ-Hilfer fractional derivative are established. The result are obtained by using fractional calculus and Schaefer’s fixed point theorem. Finally, a numerical examples are then provided to demonstrate the outcomes.
ISSN:2666-7207
2666-7207
DOI:10.1016/j.rico.2024.100455