On the solutions of a coupled system of proportional fractional differential inclusions of Hilfer type

Aurelian Cernea

doi:10.64700/mmm.31

July 19, 2024Open Access

On the solutions of a coupled system of proportional fractional differential inclusions of Hilfer type

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Key Points

Existence of solutions is confirmed for a coupled system of fractional differential inclusions, addressing nonconvex values.
Key evidence includes the study of multi-point boundary value problems associated with Hilfer-type inclusions.
Assessment involves set-valued maps with nonconvex values within the fractional differential inclusion framework.
This work may enable deeper insights into complex systems defined by fractional differential inclusions, highlighting mathematical intricacies.

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Implication

This analysis reveals solutions for multi-point boundary value problems in fractional differential inclusions, suggesting potential applications in complex systems.

Abstract

A multi-point and integro-multi-strip boundary value problem associated to a Hilfer type coupled system of fractional differential inclusions is studied. The existence of solutions is established in the case when the set-valued maps has nonconvex values.

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Cite This Study

Aurelian Cernea (2024) studied this question.

synapsesocial.com/papers/68af658fad7bf08b1eae4e47 https://doi.org/10.64700/mmm.31

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