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Caputo Fractional Derivative and Quantum-Like Coherence. [PDF]

open access: yesEntropy (Basel), 2021
We study two forms of anomalous diffusion, one equivalent to replacing the ordinary time derivative of the standard diffusion equation with the Caputo fractional derivative, and the other equivalent to replacing the time independent diffusion coefficient of the standard diffusion equation with a monotonic time dependence.
Culbreth G   +3 more
europepmc   +6 more sources

Fractional advection differential equation within Caputo and Caputo–Fabrizio derivatives [PDF]

open access: yesAdvances in Mechanical Engineering, 2016
In this research, we applied the variational homotopic perturbation method and q-homotopic analysis method to find a solution of the advection partial differential equation featuring time-fractional Caputo derivative and time-fractional Caputo–Fabrizio ...
Dumitru Baleanu   +2 more
doaj   +2 more sources

Langevin Equations with Generalized Proportional Hadamard-Caputo Fractional Derivative. [PDF]

open access: yesComput Intell Neurosci, 2021
Barakat MA   +3 more
europepmc   +1 more source

A New Mixed Fractional Derivative with Applications in Computational Biology

open access: yesComputation
This study develops a new definition of a fractional derivative that mixes the definitions of fractional derivatives with singular and non-singular kernels.
Khalid Hattaf
doaj   +1 more source

Mathematical analysis of SIRD model of COVID-19 with Caputo fractional derivative based on real data. [PDF]

open access: yesResults Phys, 2021
Nisar KS   +5 more
europepmc   +1 more source

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