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On Ψ-Hilfer Fractional Integro-Differential Equations with Non-Instantaneous Impulsive Conditions

We establish sufficient conditions for the existence of solutions of an integral boundary value problem for a Ψ-Hilfer fractional integro-differential equations with non-instantaneous impulsive conditions. The main results are proved with a suitable fixed point theorem. An example is given to interp...

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Bibliographic Details
Published in:Fractal and fractional 2022-12, Vol.6 (12), p.732
Main Authors: Arul, Ramasamy, Karthikeyan, Panjayan, Karthikeyan, Kulandhaivel, Geetha, Palanisamy, Alruwaily, Ymnah, Almaghamsi, Lamya, El-hady, El-sayed
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Language:English
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Summary:We establish sufficient conditions for the existence of solutions of an integral boundary value problem for a Ψ-Hilfer fractional integro-differential equations with non-instantaneous impulsive conditions. The main results are proved with a suitable fixed point theorem. An example is given to interpret the theoretical results. In this way, we generalize recent interesting results.
ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract6120732