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, pos...

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Bibliographic Details
Main Authors: Pshtiwan Othman Mohammed, Hari Mohan Srivastava, Nejmeddine Chorfi, Majeed A. Yousif, Dumitru Baleanu, Shrooq Mohammed Azzo
Format: Article
Language:English
Published: Taylor & Francis Group 2025-12-01
Series:Mathematical and Computer Modelling of Dynamical Systems
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Online Access:https://www.tandfonline.com/doi/10.1080/13873954.2025.2482560
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Summary: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.
ISSN:1387-3954
1744-5051