Qualitative analysis of coupled system of sequential fractional integrodifferential equations

  • Waheed, Hira
  • Zada, Akbar
  • Rizwan, Rizwan
  • Park, Choonkil
  • Ullah, Niamat
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초록

In this article we explore the existence, uniqueness, and stability for a coupled system of sequential fractional integrodifferential equations involving ψ–Hilfer fractional derivative with multi– point boundary conditions. For the uniqueness result we use Banach fixed point theorem, and the Leray–Schauder alternative to obtain the existence result. Further, we investigate various kinds of stability such as Hyers–Ulam stability. Examples are provided to verify our results.

키워드

ControllabilityExistence and uniquenessFixed point theoremStabilitySystem of integrodifferential equationsψ–Hilfer fractional derivativeDIFFERENTIAL-EQUATIONSSTABILITYUNIQUENESSEXISTENCE
제목
Qualitative analysis of coupled system of sequential fractional integrodifferential equations
저자
Waheed, HiraZada, AkbarRizwan, RizwanPark, ChoonkilUllah, Niamat
DOI
10.3934/math.2022447
발행일
2022-02
유형
Article
저널명
AIMS MATHEMATICS
7
5
페이지
8012 ~ 8034

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