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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
engineering
Some novel mathematical analysis on a corneal shape model by using Caputo fractional derivative
Optik, Volume 261, Article 169086, Year 2022
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Description
In this article, we solve a fractional boundary value problem (FBVP) for modeling the human corneal shape dynamics. We use the Caputo fractional derivative having singular type kernel. We propose some novel simulations to prove the existence of a unique solution of the given FBVP. The numerical solution of the proposed problem is derived by using a polynomial least squares method. We do a number of graphical observations at various values of the given model parameters along with the orders of considered fractional derivative. The main motivation of this research article is to specify the possibilities that the corneal shape may slightly differ to the shapes which were investigated in various past studies at any fixed set of available parameters. The given model was not generalized before by using any fractional derivative which is the main reason for the proposal of this study as well as the novelty of the work. © 2022 Elsevier GmbH
Authors & Co-Authors
Ertürk, Vedat Suat
Turkey, Samsun
Ondokuz Mayis Üniversitesi
Kumar, Pushpendra
India, Puducherry
National Institute of Technology Puducherry
Govindaraj, Venkatesan
India, Puducherry
National Institute of Technology Puducherry
Statistics
Citations: 25
Authors: 3
Affiliations: 3
Identifiers
Doi:
10.1016/j.ijleo.2022.169086
ISSN:
00304026