zbMath1238.93005MaRDI QIDQ3008210
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Publication date: 15 June 2011
Full work available at URL: http://ebooks.worldscinet.com/ISBN/9789814340595/toc.shtml
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On the existence of solutions of fractional integro-differential equations,
An existence result for singular nonlocal fractional Kirchhoff–Schrödinger–Poisson system,
Existence and uniqueness results of impulsive fractional neutral pantograph integro differential equations with delay,
A linear Galerkin numerical method for a quasilinear subdiffusion equation,
Effect of fractional-damping and multiplicative colored noise on stochastic resonance for a second-order nonlinear system,
Heat‐conduction in a semi‐infinite fractal bar using advanced Yang‐Fourier transforms,
Global solution of space-fractional diffusion equations with nonlinear reaction source terms,
Equivalence of position–position auto-correlations in the Slicer Map and the Lévy–Lorentz gas,
Fast, accurate and robust adaptive finite difference methods for fractional diffusion equations,
Photoluminescence decay of silicon nanocrystals and Lévy stable distributions,
Revisiting Lévy flights on bounded domains: a Fock space approach,
FPGA realization of fractional order neuron,
Transition Probabilities for Processes with Memory on Topological Non-trivial Spaces,
Construction of analytic solution for time-fractional Boussinesq equation using iterative method,
Existence results for coupled system of nonlinear differential equations and inclusions involving sequential derivatives of fractional order,
Existence and Hyers-Ulam type stability results for nonlinear coupled system of Caputo-Hadamard type fractional differential equations,
Analysis of nonlinear Hadamard fractional differential equations via properties of Mittag-Leffler functions,
A finite volume scheme with preconditioned Lanczos method for two-dimensional space-fractional reaction-diffusion equations,
Entropy solution of fractional dynamic cloud computing system associated with finite boundary condition,
Lattice fractional calculus,
Asymptotically compatible schemes for the approximation of fractional Laplacian and related nonlocal diffusion problems on bounded domains,
Second order scheme for self-similar solutions of a time-fractional porous medium equation on the half-line,
Existence and numerical simulation of solutions for nonlinear fractional pantograph equations,
Fractional econophysics: market price dynamics with memory effects,
A coupled system of nonlinear differential equations involving \(m\) nonlinear terms,
A banded preconditioner for the two-sided, nonlinear space-fractional diffusion equation,
A detailed analysis for the fundamental solution of fractional vibration equation,
An inverse problem to estimate an unknown order of a Riemann-Liouville fractional derivative for a fractional Stokes' first problem for a heated generalized second grade fluid,
Existence theory for sequential fractional differential equations with anti-periodic type boundary conditions,
Nonlocal Cauchy problems for a class of implicit impulsive fractional relaxation differential systems,
Analytical solution of the space-time fractional hyperdiffusion equation,
A new framework for multivariate general conformable fractional calculus and potential applications,
Historical survey: the chronicles of fractional calculus,
Bifurcation in most probable phase portraits for a bistable kinetic model with coupling Gaussian and non-Gaussian noises,
Existence, uniqueness and stability analysis of a coupled fractional-order differential systems involving Hadamard derivatives and associated with multi-point boundary conditions,
Factorization of the fundamental solution to fractional Helmholtz equation,
Homotopy analysis Sumudu transform method for time-fractional third order dispersive partial differential equation,
On Caputo-Hadamard Type Fractional Differential Equations with Nonlocal Discrete Boundary Conditions,
Variational integrators for fractional Birkhoffian systems,
Existence of solution for delay fractional differential equations,
Identification and validation of stable ARFIMA processes with application to UMTS data,
On the solutions of a nonlinear fractional integro-differential equation of pantograph type,
Three classes of fractional oscillators,
Generalized fractional master equation for self-similar stochastic processes modelling anomalous diffusion,
Existence of solutions for Riemann-Liouville multi-valued fractional boundary value problems,
A fractional analysis of Noyes-Field model for the nonlinear Belousov-Zhabotinsky reaction,
On a class of abstract time-fractional equations on locally convex spaces,
Complex transforms for systems of fractional differential equations,
To hit or to pass it over—remarkable transient behavior of first arrivals and passages for Lévy flights in finite domains,
Constructing conservation laws for fractional-order integro-differential equations,
Statistical test for fractional Brownian motion based on detrending moving average algorithm,
No violation of the Leibniz rule. No fractional derivative,
Non-standard extensions of gradient elasticity: fractional non-locality, memory and fractality,
Stochastic resonance in a linear fractional Langevin equation,
Quantum dissipation from power-law memory,
Fractional calculus via Laplace transform and its application in relaxation processes,
A Stochastic Pitchfork Bifurcation in Most Probable Phase Portraits,
Finite energy Lyapunov function candidate for fractional order general nonlinear systems,
On explicit exact solutions and conservation laws for time fractional variable -- coefficient coupled Burger's equations,
Complexity and the fractional calculus,
Solving linear coupled fractional differential equations by direct operational method and some applications,
Error estimates of finite element methods for nonlinear fractional stochastic differential equations,
Local fractional Laplace variational iteration method for nonhomogeneous heat equations arising in fractal heat flow,
Solving Fokker-Planck equations on Cantor sets using local fractional decomposition method,
Local fractional variational iteration and decomposition methods for wave equation on Cantor sets within local fractional operators,
Local fractional \(Z\)-transforms with applications to signals on Cantor sets,
Elasticity for economic processes with memory: fractional differential calculus approach,
Integral representations of products of airy functions related to fractional calculus,
Numerical Method for the Time-Fractional Porous Medium Equation,
On some properties of the Mittag-Leffler function \(E_\alpha(-t^\alpha)\), completely monotone for \(t>0\) with \(0<\alpha<1\),
Rotational invariance of stochastic processes with application to fractional dynamics,
A reaction–subdiffusion model of fluorescence recovery after photobleaching (FRAP),
Escape from a disk with partly absorbing boundaries driven by bi-variateα-stable noises,
Multi-term fractional differential equations with nonlocal boundary conditions,
Existence and uniqueness of solutions for coupled systems of Liouville-Caputo type fractional integrodifferential equations with Erdélyi-Kober integral conditions,
A six-point nonlocal boundary value problem of nonlinear coupled sequential fractional integro-differential equations and coupled integral boundary conditions,
Approximation solutions for local fractional Schrödinger equation in the one-dimensional Cantorian system,
Helmholtz and diffusion equations associated with local fractional derivative operators involving the Cantorian and Cantor-type cylindrical coordinates,
Fractional Schrödinger equation with noninteger dimensions,
Exact solutions of the generalized multidimensional mathematical physics models via sub-equation method,
Application of the local fractional series expansion method and the variational iteration method to the Helmholtz equation involving local fractional derivative operators,
Analytical solutions of the one-dimensional heat equations arising in fractal transient conduction with local fractional derivative,
On generalized stable and related laws,
Unnamed Item,
Transmission through locally periodic potentials in space-fractional quantum mechanics,
Harmonic and anharmonic quantum-mechanical oscillators in noninteger dimensions,
On fractional and fractal formulations of gradient linear and nonlinear elasticity,
A note on fractional electrodynamics,
Numerical investigation for handling fractional-order Rabinovich-Fabrikant model using the multistep approach,
Numerical simulation of a class of fractional subdiffusion equations via the alternating direction implicit method,
Mesoscopic Modeling of Stochastic Reaction-Diffusion Kinetics in the Subdiffusive Regime,
Fractional motions,
A Numerical Study of Fractional Order Reverse Osmosis Desalination Model using Legendre Wavelet Approximation,
Conservation laws for time-fractional subdiffusion and diffusion-wave equations,
Bifurcation in Mean Phase Portraits for Stochastic Dynamical Systems with Multiplicative Gaussian Noise,
Complex Dynamics in Basic Two-Component Auto-Oscillation Systems with Fractional Derivatives of Different Orders,
Групповая классификация, инвариантные решения и законы сохранения нелинейного двумерного ортотропного уравнения фильтрации с дробной производной Римана-Лиувилля по времени,
Non-Markovian dynamics of open quantum system with memory,
A fast algorithm for fractional Helmholtz equation with application to electromagnetic waves propagation,
Order flow in the financial markets from the perspective of the fractional Lévy stable motion,
Local fractional Laplace variational iteration method for solving linear partial differential equations with local fractional derivative,
General non-local electrodynamics: equations and non-local effects,
Centre-of-mass like superposition of Ornstein-Uhlenbeck processes: A pathway to non-autonomous stochastic differential equations and to fractional diffusion,
Existence and H-U stability of solution for coupled system of fractional-order with integral conditions involving Caputo-Hadamard derivatives, Hadamard integrals,
Comb-like geometric constraints leading to emergence of the time-fractional Schrödinger equation,
Fractional Schrödinger equation and anomalous relaxation: Nonlocal terms and delta potentials,
Diverse Chimera and symmetry-breaking patterns induced by fractional derivation effect in a network of Stuart-Landau oscillators,
The zeros of the solutions of the fractional oscillation equation,
Fractional dynamics and modulational instability in long-range Heisenberg chains,
Nonlocal statistical mechanics: general fractional Liouville equations and their solutions,
Three-dimensional lattice models with long-range interactions of Grünwald-Letnikov type for fractional generalization of gradient elasticity