Corrections to “Complex order fractional differential equation in complex domain with mixed boundary condition”

Kiran Kumar Saha

Chaos, Solitons & Fractals, 2024, vol. 187, issue C

Abstract: The purpose of this note is to address and correct some errors identified in the recent paper by Yadav et al. (2024). In general, the set of sufficient conditions provided for ensuring the existence and uniqueness of solutions may not be adequate. Additionally, an incorrect inequality was used in the proof to demonstrate that T is a contraction mapping on B. This mistake is then carried forward into the analysis of (generalized) Ulam–Hyers stability. We therefore revisit the problem, establish the existence and uniqueness of solutions using the Banach fixed point theorem, and analyze the Ulam–Hyers stability.

Keywords: Fractional hybrid differential equations; Existence and uniqueness of solutions; Banach fixed point theorem; Ulam–Hyers stability (search for similar items in EconPapers)
Date: 2024
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:187:y:2024:i:c:s0960077924010002

DOI: 10.1016/j.chaos.2024.115448

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