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Journals / Results in Nonlinear Analysis / 2019 / Cilt: 2 Sayı: 4

Existence Results for Fractional Integrodifferential Systems with Interval Impulse via Sectorial Operator

Malar Kandasamy(Erode Arts and Science College)0000-0002-5143-7048
Anguraj Annamalai(PSG College of Arts and Science)
Pages
169–181
Publication Date
2019-12-25
DOI
—
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AI Summary & Key Takeaways

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

At the end of this paper, an example is given to illustrate the applications of the abstract results.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper focuses on the existence results for nonlocal fractional integrodifferential equations with interval impulses and measure of noncompactness using M\"{o}nch fixed point theorem and sectorial operator.
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Key Findings & Data:This paper focuses on the existence results for nonlocal fractional integrodifferential equations with interval impulses and measure of noncompactness using M\"{o}nch fixed point theorem and sectorial operator.
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Conclusion & Impact:At the end of this paper, an example is given to illustrate the applications of the abstract results.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Fractional Integrodifferential equations · Interval impulse · Fractional Integrodifferential equations

Abstract

This paper focuses on the existence results for nonlocal fractional integrodifferential equations with interval impulses and measure of noncompactness using M\"{o}nch fixed point theorem and sectorial operator. At the end of this paper, an example is given to illustrate the applications of the abstract results.

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Cite This Article

Kandasamy, M., Annamalai, A. (2019). Existence Results for Fractional Integrodifferential Systems with Interval Impulse via Sectorial Operator. Results in Nonlinear Analysis, Cilt: 2 Sayı: 4, 169–181. https://ajindex.com/articles/1537749

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References (3)

  1. Wang, J., Zhou, Y., Fecckan, M.: On recent developments in the theory of boundaryvalue problems for impulsive fractional differential equations, Comput. Math. Appl. 64,3008-3020 (2012)
  2. Ahmad, B., Ntouyas, S.K., and Alsaedi, A.: New existence results for nonlinear fractionaldifferential equations with three-point integral boundary conditions, Advances inDi erence Equations, Volume 2011, Article ID 107384, 11 pages
  3. Zhang, X.: Existence and iteration of positive solutions for high-order fractional differentialequations with integral conditions on a half-line, Journal of applied mathematicsand Computing, 45, 137-150 (2014)