Qualitative Study on Solutions of a Hadamard Variable Order Boundary Problem via the Ulam–Hyers–Rassias Stability

Qualitative Study on Solutions of a Hadamard Variable Order Boundary Problem via the Ulam–Hyers–Rassias Stability

In this paper, the existence, uniqueness and stability of solutions to a boundary value problem of nonlinear FDEs of variable order are established. To do this, we first investigate some aspects of variable order operators of Hadamard type. Then, with the help of the generalized intervals and piecew...

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Bibliographic Details
Main Authors: Amar Benkerrouche, Mohammed Said Souid, Sina Etemad, Ali Hakem, Praveen Agarwal, Shahram Rezapour, Sotiris K. Ntouyas, Jessada Tariboon
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Fractal and Fractional
Subjects:
boundary value problem
Hadamard derivatives of variable order
piecewise constant functions
fixed point theorems
Online Access:https://www.mdpi.com/2504-3110/5/3/108

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