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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 2

An existence and uniqueness result for linear fractional impulsive boundary value problems as an application of Lyapunov type inequality

Zeynep KAYAR
Sayfa
287–297
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Besides, the novel Lyapunov type inequality generalizes the related ones in the literature.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:A new and different approach to the investigation of the existence and uniqueness of solution of nonhomogenous impulsive boundary value problems involving the Caputo fractional derivative of order $\alpha$ ($1<\alpha\leq 2$) is brought by using Lyapunov type inequality.
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Temel Bulgular & Veri:To express and to analyze the unique solution, Green's function and its bounds are established, respectively.
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Sonuç & Katkı:Besides, the novel Lyapunov type inequality generalizes the related ones in the literature.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Linear impulsive fractional boundary value problems · Green's function · Lyapunov type inequality

Abstract

A new and different approach to the investigation of the existence and uniqueness of solution of nonhomogenous impulsive boundary value problems involving the Caputo fractional derivative of order $\alpha$ ($1<\alpha\leq 2$) is brought by using Lyapunov type inequality. To express and to analyze the unique solution, Green's function and its bounds are established, respectively. As far as we know, this approach based on the link between fractional boundary value problems and Lyapunov type inequality, has not been revealed even in the absence of impulse effect. Besides, the novel Lyapunov type inequality generalizes the related ones in the literature.

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Bu Makaleye Atıf Yap

KAYAR, Z. (2022). An existence and uniqueness result for linear fractional impulsive boundary value problems as an application of Lyapunov type inequality. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 2, 287–297. https://ajindex.com/articles/529876

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Kaynakça (17)

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