Solutions comparative for a novel model of fractional delta difference type

We propose a novel delta fractional model with general boundary conditions to make a comparison of the functions and their fractional operators. This allows us to construct the Green’s functions (GFs), which we interpret as the delta fractional differences in the Riemann-Liouville setting. Next, positivity results for the GF together with the delta function have been derived. The appearance of two distinct functions having the same linear operator will be investigated. This further motivates to get the comparison of the functions, corresponding to the same GF. Two particular examples are provided to validate the theoretical findings.

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Publication Details

Journal
Mathematical and Computer Modelling of Dynamical Systems
Published
2025-04-14
DOI
https://doi.org/10.1080/13873954.2025.2482560
Citations
4
Primary Topic
Fractional Differential Equations Solutions
Type
article
Field-Weighted Citation Impact
5.47
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article

Solutions comparative for a novel model of fractional delta difference type

Majeed A. Yousif, Dumitru Bǎleanu, Shrooq Mohammed Azzo, Pshtiwan Othman Mohammed et al.
4 citations
Mathematical and Computer Modelling of Dynamical Systems
Fractional Differential Equations Solutions
5.47
article

Solutions comparative for a novel model of fractional delta difference type

Majeed A. Yousif, Dumitru Bǎleanu, Shrooq Mohammed Azzo, Pshtiwan Othman Mohammed, H. M. Srivastava, Nejmeddine Chorfi
article en
4 citations

Abstract

We propose a novel delta fractional model with general boundary conditions to make a comparison of the functions and their fractional operators. This allows us to construct the Green’s functions (GFs), which we interpret as the delta fractional differences in the Riemann-Liouville setting. Next, positivity results for the GF together with the delta function have been derived. The appearance of two distinct functions having the same linear operator will be investigated. This further motivates to get the comparison of the functions, corresponding to the same GF. Two particular examples are provided to validate the theoretical findings.

Mathematical and Computer Modelling of Dynamical SystemsVol. 31(1)
University of Mosul (IQ), Uninett (Norway) (NO), University of Victoria (CA), King Saud University (SA), University of Zakho (IQ), Lebanese American University (LB), University of Sulaimani (IQ)
Openalex Percentile: Top 5%
Fractional Differential Equations Solutions
5.47
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Solutions comparative for a novel model of fractional delta difference type — Majeed A. Yousif, Dumitru Bǎleanu, et al. · Mathematical and Computer Modelling of Dynamical Systems (2025) | TGRS Research Map | TGRS