On the $\varepsilon$-regular mild solution for fractional abstract integro-differential equations

J. Vanterler C. Sousa; M. Aurora P. Pulido; V. Govindaraj; E. Capelas de Oliveira

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arXiv · 2310.05977

On the $\varepsilon$-regular mild solution for fractional abstract integro-differential equations

J. Vanterler C. Sousa·M. Aurora P. Pulido·V. Govindaraj·E. Capelas de Oliveira

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Abstract

In this present paper, we first obtained some estimates involving parts of $\varepsilon$-regular mild solutions of the fractional integro-differential equation. In this sense, through these preliminary results, we investigate the main results of this paper, i.e., the existence, regularity and continuous dependence of $\varepsilon$-regular mild solutions for fractional abstract integro-differential equations in Banach space.

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J. Vanterler C. Sousa, M. Aurora P. Pulido, V. Govindaraj, E. Capelas de Oliveira. 2023-10-04. On the $\varepsilon$-regular mild solution for fractional abstract integro-differential equations. https://arxiv.org/abs/2310.05977

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