New result concerning nonlocal conformable fractional differential equations of neutral type with measure of noncompactness

In this paper, we demonstrate the existence results of a solution for a class of initial value problems involving conformable derivatives with nonlocal conditions. The main result is established using a fixed point theorem attributed to Darbo-Sadovskii combined with semigroup theory.

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Publication Details

Journal
Boletim da Sociedade Paranaense de Matemática
Published
2025-04-15
DOI
https://doi.org/10.5269/bspm.66830
Primary Topic
Fractional Differential Equations Solutions
Type
article
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0.00
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article

New result concerning nonlocal conformable fractional differential equations of neutral type with measure of noncompactness

Najat Chefnaj, Khalid Hilal, Ahmed Kajounı
1 links
Boletim da Sociedade Paranaense de Matemática
Fractional Differential Equations Solutions
article

New result concerning nonlocal conformable fractional differential equations of neutral type with measure of noncompactness

Najat Chefnaj, Khalid Hilal, Ahmed Kajounı
article en

Abstract

In this paper, we demonstrate the existence results of a solution for a class of initial value problems involving conformable derivatives with nonlocal conditions. The main result is established using a fixed point theorem attributed to Darbo-Sadovskii combined with semigroup theory.

Boletim da Sociedade Paranaense de MatemáticaVol. 43
Université Sultan Moulay Slimane (MA)
Openalex Percentile: Top 77%
Fractional Differential Equations Solutions
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