Caputo Fractional Derivative and Quantum-Like Coherence. [PDF]
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
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Fractional advection differential equation within Caputo and Caputo–Fabrizio derivatives [PDF]
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]
Barakat MA +3 more
europepmc +1 more source
Fractional differential equations with a Caputo derivative with respect to a Kernel function and their applications [PDF]
Ricardo Almeida +2 more
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A New Mixed Fractional Derivative with Applications in Computational Biology
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
On Solutions to Fractional Iterative Differential Equations with Caputo Derivative [PDF]
Alemnew Abera, Benyam Mebrate
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Mathematical analysis of SIRD model of COVID-19 with Caputo fractional derivative based on real data. [PDF]
Nisar KS +5 more
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On nonlinear fractional-order boundary value problems with nonlocal multi-point conditions involving Liouville-Caputo derivative [PDF]
Ravi P. Agarwal +3 more
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Inequalities for different type of functions via Caputo fractional derivative
Deniz Uçar
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Numerical Approximation of Riccati Fractional Differential Equation in the Sense of Caputo-Type Fractional Derivative [PDF]
Xin Liu, Kamran Kamran, Yukun Yao
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