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math.GM2025
Bridging Algebra and Nature: Toward a Deformable 3D Hyper-complex framework for Modeling Dynamic Systems
Abdon Atangana
In this paper, we present a new hypercomplex number system, Trinition, that has an unusual structure of commutativity, noncommutativity, nonassociativity, and deformability.
math.GM2016
New Fractional Derivatives with Nonlocal and Non-Singular Kernel: Theory and Application to Heat Transfer Model
Abdon Atangana, Dumitru Baleanu
In this manuscript we proposed a new fractional derivative with non-local and no-singular kernel. We presented some useful properties of the new derivative and applied it to solve…