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New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model
Abdon Atangana✉(University of the Free State)Dumitru Bǎleanu(Çankaya University)
Abstract
In this manuscript we proposed a new fractional derivative with non-local and\n no-singular kernel. We presented some useful properties of the new derivative\n and applied it to solve the fractional heat transfer model.
Fractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsNanofluid Flow and Heat TransferHeat transferKernel (algebra)Fractional calculusApplied mathematicsPhysicsMathematicsMechanicsPure mathematics
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3,737
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References
Application of a fractional advection‐dispersion equation
Water Resources Research · 2000 · 1,266 citations
On the new fractional derivative and application to nonlinear Fisher’s reaction–diffusion equation
Applied Mathematics and Computation · 2015 · 520 citations
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