An iterative method for solving a class of fractional functional differential equations with ``maxima''
type: Item
instance of: scholarly article
title: An iterative method for solving a class of fractional functional differential equations with ``maxima''
zbMATH Open document ID: 1489.34111
author: Khadidja Nisse
author: Lamine Nisse
published in: Mathematics
publication date: 2018-08-13T00:00:00Z
review text: Summary: In the present work, we deal with nonlinear fractional differential equations with ``maxima'' and deviating arguments. The nonlinear part of the problem under consideration depends on the maximum values of the unknown function taken in time-dependent intervals. Proceeding by an iterative approach, we obtain the existence and uniqueness of the solution, in a context that does not fit within the framework of fixed point theory methods for the self-mappings, frequently used in the study of such problems. An example illustrating our main result is also given.
Mathematics Subject Classification ID: 34K37
Mathematics Subject Classification ID: 34K07
zbMATH DE Number: 6916876
zbMATH Keywords: functional differential equations
zbMATH Keywords: fractional calculus
zbMATH Keywords: iterative procedures
MaRDI profile type: Publication
full work available at URL: math6010002
OpenAlex ID: W2778451333
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DOI: 10.3390/MATH6010002
description: scientific article; zbMATH DE number 6916876