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On psi-Hilfer Fractional Integro-Differential Equations with Non-Instantaneous Impulsive Conditions
Journal article   Open access  Peer reviewed

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

Ramasamy Arul, Panjayan Karthikeyan, Kulandhaivel Karthikeyan, Palanisamy Geetha, Ymnah Alruwaily, Lamya Almaghamsi and El-sayed El-hady
Fractal and fractional, Vol.6(12), p.732
01/12/2022
DOI: https://doi.org/10.3390/fractalfract6120732

Abstract

Mathematics Mathematics, Interdisciplinary Applications Physical Sciences Science & Technology
We establish sufficient conditions for the existence of solutions of an integral boundary value problem for a psi-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.
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https://doi.org/10.3390/fractalfract6120732View
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