Nonlocal conditions for fractional differential equations

In this work we use the method of lower and upper solutions to develop an iterative technique, which is not necessarily monotone, and combined with a fixed point theorem to prove the existence of at least one solution of nonlinear fractional differential equations with nonlocal boundary conditions of integral type.

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Publication Details

Journal
Studia Universitatis Babes-Bolyai Matematica
Published
2024-12-15
DOI
https://doi.org/10.24193/subbmath.2024.4.08
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
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article

Nonlocal conditions for fractional differential equations

Fatima Dib, Abdelkader Boucherif, Naima Daoudi-Merzagui
Studia Universitatis Babes-Bolyai Matematica
Nonlinear Differential Equations Analysis
article

Nonlocal conditions for fractional differential equations

Fatima Dib, Abdelkader Boucherif, Naima Daoudi-Merzagui
article en

Abstract

In this work we use the method of lower and upper solutions to develop an iterative technique, which is not necessarily monotone, and combined with a fixed point theorem to prove the existence of at least one solution of nonlinear fractional differential equations with nonlocal boundary conditions of integral type.

Studia Universitatis Babes-Bolyai MatematicaVol. 69(4)
University of Abou Bekr Belkaïd (DZ)
Openalex Percentile: Top 61%
Nonlinear Differential Equations Analysis
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Nonlocal conditions for fractional differential equations — Fatima Dib, Abdelkader Boucherif, et al. · Studia Universitatis Babes-Bolyai Matematica (2024) | TGRS Research Map | TGRS