Open AccessQualitative analysis of coupled system of sequential fractional integrodifferential equations
Author(s) -
Hira Waheed,
Akbar Zada,
Rizwan Rizwan,
Choonkil Park,
Niamat Ullah
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022447
Subject(s) - mathematics , qualitative analysis , mathematical analysis , physics , qualitative research , sociology , social science
In this article we explore the existence, uniqueness, and stability for a coupled system of sequential fractional integrodifferential equations involving $ \psi $–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.