New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model

2016/01/01 by Atangana Abdon, Dumitru Bǎleanu, Abdon Atangana · 4 citations
Engineering · Mathematics · #Applied mathematics #Derivative (finance) #Economics #Financial economics #Fractional Differential Equations Solutions #Fractional calculus #Heat kernel #Heat transfer #Iterative Methods for Nonlinear Equations #Kernel (algebra) #Mathematical analysis #Mathematics #Mechanics #Nanofluid Flow and Heat Transfer #Physics #Pure mathematics #Thermodynamics #Thermoelastic and Magnetoelastic Phenomena

paper · pdf · doi:10.2298/tsci160111018a

openalex publication_date 2016/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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 the fractional heat transfer model.

Citations

• Linking multiple relaxation, power-law attenuation, and fractional wave equations
• Application of a fractional advection‐dispersion equation

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