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Mathematics
Article . 2024 . Peer-reviewed
License: CC BY
Data sources: Crossref
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Mathematics
Article . 2024
Data sources: DOAJ
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Fractional Neutral Integro-Differential Equations with Nonlocal Initial Conditions

Authors: Zhiyuan Yuan; Luyao Wang; Wenchang He; Ning Cai; Jia Mu;

Fractional Neutral Integro-Differential Equations with Nonlocal Initial Conditions

Abstract

We primarily investigate the existence of solutions for fractional neutral integro-differential equations with nonlocal initial conditions, which are crucial for understanding natural phenomena. Taking into account factors such as neutral type, fractional-order integrals, and fractional-order derivatives, we employ probability density functions, Laplace transforms, and resolvent operators to formulate a well-defined concept of a mild solution for the specified equation. Following this, by using fixed-point theorems, we establish the existence of mild solutions under more relaxed conditions.

Related Organizations
Keywords

probability density function, mild solutions, QA1-939, resolvent family, Mathematics, fractional neutral integro-differential equations

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
gold