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Journals / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 1

On initial value problem of random fractional differential equation with impulses

Vu HO
Hoa NGO
Pages
282–293
Publication Date
2020-02-06
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Moreover, the continuous dependence of the solution on the initial data is investigated.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we prove the existence and uniqueness of solution for random fractional differential equation with impulses via Banach fixed point theorem and Schauder fixed point theorem.
📊
Key Findings & Data:In this paper, we prove the existence and uniqueness of solution for random fractional differential equation with impulses via Banach fixed point theorem and Schauder fixed point theorem.
💡
Conclusion & Impact:Moreover, the continuous dependence of the solution on the initial data is investigated.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Random fractional differential equation with impulses · second-order stochastic processes · mean square continuous solution

Abstract

In this paper, we prove the existence and uniqueness of solution for random fractional differential equation with impulses via Banach fixed point theorem and Schauder fixed point theorem. Moreover, the continuous dependence of the solution on the initial data is investigated.

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Cite This Article

HO, V., NGO, H. (2020). On initial value problem of random fractional differential equation with impulses. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 1, 282–293. https://ajindex.com/articles/669311

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