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A time-fractional superdiffusion wave-like equation with subdiffusion possibly dam** term: well-posedness and Mittag-Leffler stability
In this article, we focus on the application of the recent notion of time-fractional derivative developed in Sobolev spaces to the study of...
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A numerical study on solving a fractional time-space diffusion equation via the finite difference method
This paper aims in develo** the finite difference scheme for riemann liouville space fractional diffusion equation and caputo fabrizio time...
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A fast finite difference method for 2D time variable fractional mobile/immobile equation
In this paper, we establish a fast Crank–Nicolson L1 finite difference scheme for two-dimensional time variable fractional mobile/immobile diffusion...
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Well-Posedness of Mild Solutions for Superdiffusion Equations with Spatial Nonlocal Operators
In this paper, we study the well-posedness for a class of semilinear superdiffusion equations with spatial nonlocal operators. We first establish the...
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Numerical Solution of a Subdiffusion Equation with Variable Order Time Fractional Derivative and Nonlinear Diffusion Coefficient
AbstractA grid approximation of the boundary value problem for the subdiffusion equation with a fractional time derivative of the order
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Topological Sensitivity Analysis Method in Identifying of Point Sources via Time-Fractional Diffusion Equation
This work is concerned with an inverse problem for a time-fractional diffusion equation. The aim is to identify point source locations, from a given...
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Fractional Order Nonlocal Thermistor Boundary Value Problem on Time Scales
This paper investigates the existence, uniqueness, and continuous dependence of solutions to fractional order nonlocal thermistor two-point boundary...
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Crank-Nicolson Finite Difference Scheme for Time-Space Fractional Diffusion Equation
This paper aims in develo** the Crank-Nicolson type of finite difference scheme for space-time fractional order diffusion equation (TSFDE) with a...
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A Local Discontinuous Galerkin Method for Time-Fractional Diffusion Equations
In this paper, a local discontinuous Galerkin (LDG) scheme for the time-fractional diffusion equation is proposed and analyzed. The Caputo...
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An inverse problem of identifying the coefficient in a nonlinear time-fractional diffusion equation
The paper deals with an inverse problem of identifying parameters in a nonlinear subdiffusion model from a final observation. The nonlinear...
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Numerical conservation laws of time fractional diffusion PDEs
This paper introduces sufficient conditions to determine conservation laws of diffusion equations of arbitrary fractional order in time. Numerical...
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Solving the backward problem for time-fractional wave equations by the quasi-reversibility regularization method
This paper is devoted to the backward problem of determining the initial value and initial velocity simultaneously in a time-fractional wave...
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High-Order Numerical Method for Solving a Space Distributed-Order Time-Fractional Diffusion Equation
This article proposes a high-order numerical method for a space distributed-order time-fractional diffusion equation. First, we use the mid-point...
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Unconditionally Stable and Convergent Difference Scheme for Superdiffusion with Extrapolation
Approximating the Hadamard finite-part integral by the quadratic interpolation polynomials, we obtain a scheme for approximating the...
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Fractional Landweber Iterative Regularization Method for Identifying the Unknown Source of the Time-Fractional Diffusion Problem
In this paper, we study an inverse problem to determine an unknown source term in the time-fractional diffusion equation with variable coefficients...
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A fourth order non-polynomial quintic spline collocation technique for solving time fractional superdiffusion equations
The purpose of this article is to present a technique for the numerical solution of Caputo time fractional superdiffusion equation. The central...
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Optimal Control for Systems Modeled by the Diffusion-Wave Equation
The article deals with an optimal control problem for the model system described by the one-dimensional inhomogeneous diffusion-wave equation that is...
