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Monotone iterative technique for a sequential δ-Caputo fractional differential equations with nonlinear boundary conditions.

Authors :
Baitiche, Zidane
Derbazi, Choukri
Salim, Abdelkrim
Benchohra, Mouffak
Source :
Studia Universitatis Babeş-Bolyai, Mathematica; Sep2024, Vol. 69 Issue 3, p553-565, 13p
Publication Year :
2024

Abstract

In this article, we discuss the existence of extremal solutions for a class of nonlinear sequential δ-Caputo fractional differential equations involving nonlinear boundary conditions. Our results are founded on advanced functional analysis methods. To be more specific, we use the monotone iterative approach in conjunction with the upper and lower solution method to create adequate requirements for the existence of extremal solutions. As an application, we give an example to illustrate our results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02521938
Volume :
69
Issue :
3
Database :
Complementary Index
Journal :
Studia Universitatis Babeş-Bolyai, Mathematica
Publication Type :
Academic Journal
Accession number :
180100302
Full Text :
https://doi.org/10.24193/subbmath.2024.3.06