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Volume 2 (2022), Article ID 13
In this manuscript, we establish the existence results of fractional impulsive differential equations involving ψ-Hilfer fractional derivative and almost sectorial operators by using the Schauder fixed point theorem. For this purpose, we have discussed the two cases if the associated semigroup is compact and noncompact, respectively. We considered here the higher dimensional system of integral equations. We have presented here new theoretical results, structural investigations, new models and approaches, and new applications of integral equations. Finally, an example is discussed to illustrate the main result.
How to Cite:
Dimplekumar Chalishajar, K. Karthikeyan, P. Karthikeyan, D. Senthil Raja, and P. Sundararajan, Qualitative analysis of Ψ-Hilfer fractional impulsive differential equations involving almost sectorial operators with nonlocal multi-point condition, Eur. J. Math. Appl. 2 (2022), Article ID 13. https://doi.org/10.28919/ejma.2022.2.13