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Djendode Mbainadji, Sylvain Koumla, Issa Zabsonre, Existence and regularity of solutions in α-norm for some second order partial neutral functional differential equations with finite delay in Banach spaces, Eur. J. Math. Appl. 5 (2025), Article ID 3.

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Volume 5 (2025), Article ID 3

https://doi.org/10.28919/ejma.2025.5.3

Published: 04/02/2025

Abstract:

The purpose of this work is to investigate the existence and regularity of solutions in the α-norm for some second order partial neutral functional differential equations in Banach spaces with finite delay using fractional α-power and the theory of the cosine family. As result, we obtain a generalization of work of Herman R. Henriquez et al. (Journal of Mathematics, Vol. 41, No. 6 (2011)) without alpha norm and regularity. Our results extend and complement many other important results in the literature. Finally, a concrete example is given to illustrate the application of the main results.

How to Cite:

Djendode Mbainadji, Sylvain Koumla, Issa Zabsonre, Existence and regularity of solutions in α-norm for some second order partial neutral functional differential equations with finite delay in Banach spaces, Eur. J. Math. Appl. 5 (2025), Article ID 2. https://doi.org/10.28919/ejma.2025.5.3