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Journals / Fundamental Journal of Mathematics and Applications / 2018 / Cilt: 1 - Sayı: 2

Existence and Stability of Solutions of Katugampola-Caputo Type Implicit Fractional Differential Equations with Impulses

M. JANAKİ
K. KANAGARAJAN
E. M. ELSAYED
Pages
162–174
Publication Date
2018-12-25
DOI
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AI Summary & Key Takeaways

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

Some examples are presented to illustrate the main results.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper investigates the existence and Ulam stability of solutions for impulsive nonlinear fractional implicit differential equations with finite delay via Katugampola fractional derivative in Caputo sense.
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Key Findings & Data:Our results are based on some standard fixed point theorems.
💡
Conclusion & Impact:Some examples are presented to illustrate the main results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Existence · Fixed point · Implicit fractional differential equations

Abstract

This paper investigates the existence and Ulam stability of solutions for impulsive nonlinear fractional implicit differential equations with finite delay via Katugampola fractional derivative in Caputo sense. Our results are based on some standard fixed point theorems. Some examples are presented to illustrate the main results.

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Cite This Article

JANAKİ, M., KANAGARAJAN, K., ELSAYED, E. M. (2018). Existence and Stability of Solutions of Katugampola-Caputo Type Implicit Fractional Differential Equations with Impulses. Fundamental Journal of Mathematics and Applications, Cilt: 1 - Sayı: 2, 162–174. https://ajindex.com/articles/759323

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