ML
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Properties of \(\psi\)-Mittag-Leffler fractional integrals ⋮ Haar wavelet collocation method for variable order fractional integro-differential equations with stability analysis ⋮ Solving Prabhakar differential equations using Mikusiński's operational calculus ⋮ Computing enclosures for the matrix Mittag-Leffler function ⋮ A contour method for time-fractional PDEs and an application to fractional viscoelastic beam equations ⋮ Energy analysis and discretization of the time-domain equivalent fluid model for wave propagation in rigid porous media ⋮ Computing the matrix Mittag-Leffler function with applications to fractional calculus ⋮ Tsallis-Mittag-Leffler distribution and its applications in gas prices ⋮ Fractional calculus: D'où venons-nous? Que sommes-nous? Où allons-nous? (Contributions to Round Table Discussion held at ICFDA 2016) ⋮ Models of dielectric relaxation based on completely monotone functions ⋮ Truncated Mittag-Leffler distribution and superstatistics ⋮ A new numerical method for solving semilinear fractional differential equation ⋮ A space-time discretization of a nonlinear peridynamic model on a 2D lamina ⋮ On the time-fractional Schrödinger equation: theoretical analysis and numerical solution by matrix Mittag-Leffler functions ⋮ Modified fractional logistic equation ⋮ Numerical simulation of the variable order fractional integro-differential equation via Chebyshev polynomials ⋮ From continuous time random walks to the generalized diffusion equation ⋮ Optimal control of linear systems with fractional derivatives ⋮ Generalized Langevin equation and the Prabhakar derivative ⋮ Numerical solution of multiterm fractional differential equations using the matrix Mittag-Leffler functions ⋮ Storage and dissipation of energy in Prabhakar viscoelasticity ⋮ Numerical solution of fractional differential equations: a survey and a software tutorial ⋮ Two time-stepping schemes for sub-diffusion equations with singular source terms ⋮ On complete monotonicity of the Prabhakar function and non-Debye relaxation in dielectrics ⋮ Numerical solution of time fractional diffusion systems ⋮ New numerical algorithm to solve variable-order fractional integrodifferential equations in the sense of Hilfer-Prabhakar derivative ⋮ Closed-form multi-dimensional solutions and asymptotic behaviors for subdiffusive processes with crossovers. I: Retarding case ⋮ Nonsmooth data error estimates for FEM approximations of the time fractional cable equation ⋮ Some results on the complete monotonicity of Mittag-Leffler functions of le Roy type ⋮ Numerical solution of fractional-order ordinary differential equations using the reformulated infinite state representation ⋮ A fully explicit variational integrator for multidimensional systems of coupled nonlinear fractional hyperbolic equations ⋮ Numerical evaluation of Mittag-Leffler functions ⋮ A practical guide to Prabhakar fractional calculus ⋮ A real distinct poles rational approximation of generalized Mittag-Leffler functions and their inverses: applications to fractional calculus ⋮ High-order accurate adaptive kernel compression time-stepping schemes for fractional differential equations ⋮ Projectile motion using three parameter Mittag-Leffler function calculus ⋮ Error estimate and stability analysis on the study of a high-order nonlinear fractional differential equation with Caputo-derivative and integral boundary condition ⋮ Mittag-Leffler function distribution -- a new generalization of hyper-Poisson distribution ⋮ Some remarks on estimate of Mittag-Leffler function ⋮ Application of subival in solving initial value problems with fractional derivatives ⋮ On Tikhonov's method and optimal error bound for inverse source problem for a time-fractional diffusion equation ⋮ Global Padé approximations of the generalized Mittag-Leffler function and its inverse ⋮ A naturally emerging bivariate Mittag-Leffler function and associated fractional-calculus operators ⋮ Cagan model of inflation with power-law memory effects ⋮ Generalized Mittag-Leffler quadrature methods for fractional differential equations ⋮ Grünwald-Letnikov operators for fractional relaxation in Havriliak-Negami models ⋮ The numerical solution of fractional integral equations via orthogonal polynomials in fractional powers ⋮ Stability and dynamics of neutral and integro-differential regularized Prabhakar fractional differential systems ⋮ The Prabhakar or three parameter Mittag-Leffler function: theory and application ⋮ Series representations for fractional-calculus operators involving generalised Mittag-Leffler functions ⋮ Neglecting nonlocality leads to unreliable numerical methods for fractional differential equations ⋮ Modeling biological systems with an improved fractional Gompertz law ⋮ General fractional calculus and Prabhakar's theory ⋮ A new collection of real world applications of fractional calculus in science and engineering ⋮ On initial conditions for fractional delay differential equations ⋮ Generalized fractional Poisson process and related stochastic dynamics ⋮ Solving 2D time-fractional diffusion equations by a pseudospectral method and Mittag-Leffler function evaluation ⋮ Scott-Blair models with time-varying viscosity ⋮ A boundary element method formulation based on the Caputo derivative for the solution of the anomalous diffusion problem ⋮ A fast algorithm for solving the space-time fractional diffusion equation ⋮ On Hyers-Ulam stability of fractional differential equations with Prabhakar derivatives ⋮ Adaptive unit-vector law with time-varying gain for finite-time parameter estimation in LTI systems ⋮ Time-local discretization of fractional and related diffusive operators using Gaussian quadrature with applications ⋮ Prabhakar Lévy processes ⋮ A stable numerical method for multidimensional time fractional Schrödinger equations ⋮ Mittag-Leffler-Gaussian distribution: theory and application to real data ⋮ A Gauss-Jacobi kernel compression scheme for fractional differential equations ⋮ Solution of fractional kinetic equations associated with the \((p, q)\)-Mathieu-type series ⋮ Exact solutions to the fractional time-space Bloch-Torrey equation for magnetic resonance imaging ⋮ Fractional nonlinear dynamics of learning with memory ⋮ Generalized exponential time differencing schemes for stiff fractional systems with nonsmooth source term ⋮ A rational approximation scheme for computing Mittag-Leffler function with discrete elliptic operator as input ⋮ Solving fractional Fredholm integro-differential equations using Legendre wavelets ⋮ Identifying an unknown source term in a time-space fractional parabolic equation ⋮ A comment on some new definitions of fractional derivative ⋮ On the long-range dependence of mixed fractional Poisson process ⋮ A generalized Mittag-Leffler function to describe nonexponential chemical effects ⋮ Variable-order fractional calculus: a change of perspective ⋮ Computing functions of very large matrices with small TT/QTT ranks by quadrature formulas ⋮ A Multiprecision Derivative-Free Schur--Parlett Algorithm for Computing Matrix Functions ⋮ Highly accurate global Padé approximations of generalized Mittag-Leffler function and its inverse ⋮ The fractional birth process with power-law immigration ⋮ On the analysis of mixed-index time fractional differential equation systems ⋮ Harrod-Domar growth model with memory and distributed lag ⋮ Determination of order in linear fractional differential equations ⋮ Numerical approximation to Prabhakar fractional Sturm-Liouville problem ⋮ Exponential sum approximation for Mittag-Leffler function and its application to fractional Zener wave equation ⋮ Studies on generalized Yule models ⋮ A note on the article ``Anomalous relaxation model based on the fractional derivative with a Prabhakar-like kernel ⋮ Some notes on properties of the matrix Mittag-Leffler function ⋮ The quasi-reversibility method for an inverse source problem for time-space fractional parabolic equations ⋮ Existence results for a generalization of the time-fractional diffusion equation with variable coefficients ⋮ Finiteness conditions for performance indices in generalized fractional-order systems defined based on the regularized Prabhakar derivative ⋮ Numerical conservation laws of time fractional diffusion PDEs ⋮ Impulse response of commensurate fractional-order systems: multiple complex poles ⋮ Computation of the inverse Mittag-Leffler function and its application to modeling ultraslow dynamics ⋮ A note on a modified fractional Maxwell model ⋮ Integral inequalities for a fractional operator of a function with respect to another function with nonsingular kernel ⋮ The effect of the parameters of the generalized fractional derivatives on the behavior of linear electrical circuits ⋮ Optimality conditions involving the Mittag-Leffler tempered fractional derivative
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