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Solution of fractional bioheat equation in terms of Fox's H-function. [PDF]
Damor RS, Kumar S, Shukla AK.
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A Morse lemma at infinity for nonlinear elliptic fractional equations
, 2021In this paper, we consider the following nonlinear fractional critical equation with zero Dirichlet boundary condition Asu = Ku n+2s n−2s , u > 0 in Ω and u = 0 on ∂Ω, whereK is a positive function, Ω is a regular bounded domain of R, n ≥ 2 and As, s ...
W. Abdelhedi, H. Hajaiej, Zeinab Mhamdi
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Existence, regularity and representation of solutions of time fractional diffusion equations
Advances in Differential Equations, 2016Using regularized resolvent families, we investigate the solvability of the fractional order inhomogeneous Cauchy problem Dt u(t) = Au(t) + f(t), t > 0, 0 < α ≤ 1, where Dt is the Caputo fractional derivative of order α, A a closed linear operator on ...
V. Keyantuo, C. Lizama, M. Warma
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A Fast Algorithm for the Caputo Fractional Derivative
East Asian Journal on Applied Mathematics, 2018A fast algorithm with almost optimal memory for the computation of Caputo’s fractional derivative is developed. It is based on a nonuniform splitting of the time interval [0, tn] and a polynomial approximation of the kernel function (1 − τ) −α.
Kun Huang
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USING THE BAYESIAN FRAMEWORK FOR INFERENCE IN FRACTIONAL ADVECTION-DIFFUSION TRANSPORT SYSTEM
, 2020This work shows for the first time the viability of using the Bayesian paradigm for both estimation and hypothesis testing when applied to fractional differential equations.
E. Boone+3 more
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High Order Finite Difference/Spectral Methods to a Water Wave Model with Nonlocal Viscosity
Journal of Computational Mathematics, 2020In this paper, efficient numerical scheme is proposed for solving the water wave model with nonlocal viscous term that describe the propagation of surface water wave.
Mo Xu
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Numerical Mathematics: Theory, Methods and Applications, 2019
Finite difference scheme for the variable coefficients subdiffusion equations with non-smooth solutions is constructed and analyzed. The spatial derivative is discretized on a uniform mesh, and L1 approximation is used for the discretization of the ...
Mingrong Cui
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Finite difference scheme for the variable coefficients subdiffusion equations with non-smooth solutions is constructed and analyzed. The spatial derivative is discretized on a uniform mesh, and L1 approximation is used for the discretization of the ...
Mingrong Cui
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