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arXiv · 2206.06726

Existence Results for a Multipoint Fractional Boundary Value Problem in the Fractional Derivative Banach Space

Djalal Boucenna·Amar Chidouh·Delfim F. M. Torres
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Abstract

We study a class of nonlinear implicit fractional differential equations subject to nonlocal boundary conditions expressed in terms of nonlinear integro-differential equations. Using the Krasnosel'skii fixed point theorem we prove, via the Kolmogorov--Riesz criteria, existence of solutions. The existence results are established in a specific fractional derivative Banach space and they are illustrated by two numerical examples.

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Djalal Boucenna, Amar Chidouh, Delfim F. M. Torres. 2022-06-14. Existence Results for a Multipoint Fractional Boundary Value Problem in the Fractional Derivative Banach Space. https://doi.org/10.3390/axioms11060295

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