Generalized monotone iterative technique for Caputo fractional differential equation with periodic boundary condition via initial value problem
type: Item
instance of: scholarly article
title: Generalized monotone iterative technique for Caputo fractional differential equation with periodic boundary condition via initial value problem
zbMATH Open document ID: 1267.34011
DOI: 10.1155/2012/842813
author: J. Diego Ramírez
author: Aghalaya S. Vatsala
published in: International Journal of Differential Equations
publication date: 2013-06-10T00:00:00Z
review text: Summary: We develop a generalized monotone method using coupled lower and upper solutions for Caputo fractional differential equations with periodic boundary conditions of order \(q\), where \(0 < q < 1\). We develop results which provide natural monotone sequences or intertwined monotone sequences which converge uniformly and monotonically to coupled minimal and maximal periodic solutions. However, these monotone iterates are solutions of linear initial value problems which are easier to compute.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34A45
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 6172125
zbMATH Keywords: coupled lower and upper solutions
zbMATH Keywords: linear initial value problems
Wikidata QID: Q58702854
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/842813
OpenAlex ID: W2164165543
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description: scientific article; zbMATH DE number 6172125