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Solving time fractional Burgers’ and Fisher’s equations using cubic B-spline approximation method
This article presents a numerical algorithm for solving time fractional Burgers’ and Fisher’s equations using cubic B-spline finite element method....
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Least Square Homotopy Solution to Hyperbolic Telegraph Equations: Multi-dimension Analysis
In present investigation, least square homotopy perturbation technique is employed to furnish the analytical solutions of multi-dimensional...
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Generalized fractional Dirac type operators
We introduce a class of fractional Dirac type operators with time variable coefficients by means of a Witt basis, the Djrbashian–Caputo fractional...
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A priori bounds of the solution of a one point IBVP for a singular fractional evolution equation
A priori bounds constitute a crucial and powerful tool in the investigation of initial boundary value problems for linear and nonlinear fractional...
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On the approximation of time-fractional telegraph equations using localized kernel-based method
In the present work, a hybrid transform-based localized meshless method is constructed for the solution of time-fractional telegraph equations. In...
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A popular reaction-diffusion model fractional Fitzhugh-Nagumo equation: analytical and numerical treatment
The main objective of this article is to obtain the new analytical and numerical solutions of fractional Fitzhugh-Nagumo equation which arises as a...
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Unconditional Energy Dissipation and Error Estimates of the SAV Fourier Spectral Method for Nonlinear Fractional Generalized Wave Equation
In this paper, we consider a second-order scalar auxiliary variable Fourier spectral method to solve the nonlinear fractional generalized wave...
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A decoupled physics-informed neural network for recovering a space-dependent force function in the wave equation from integral overdetermination data
In this paper, we study the inverse problem of approximating a space-dependent wave source in a one-dimensional wave equation. The problem is...
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Application of Multi-Dimensional of Conformable Sumudu Decomposition Method for Solving Conformable Singular Fractional Coupled Burger’s Equation
In this article, several theorems of fractional conformable derivatives and triple Sumudu transform are given and proved. Based on these theorems, a...
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Numerical Approximation of a Class of Time-Fractional Differential Equations
We consider a class of linear fractional partial differential equations containing two time-fractional derivatives of orders α, β ∈ (0, 2) and...
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Well-posedness and regularity for fractional damped wave equations
In this paper, we study the well-posedness and regularity of mild solutions for a class of time fractional damped wave equations, which the...
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Second Order Compact Difference Scheme for Time Fractional Sub-diffusion Fourth-Order Neutral Delay Differential Equations
In this paper, we propose a compact difference scheme of second order temporal convergence for the analysis of sub-diffusion fourth-order neutral...
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Operator splitting scheme based on barycentric Lagrange interpolation collocation method for the Allen-Cahn equation
In this paper, we consider the operator splitting scheme based on barycentric Lagrange interpolation collocation method for the two-dimensional...
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On a Non–Local Problem for a Multi–Term Fractional Diffusion-Wave Equation
This paper deals with the multi-term generalisation of the time-fractional diffusion-wave equation for general operators with discrete spectrum, as...
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Existence and numerical analysis using Haar wavelet for fourth-order multi-term fractional differential equations
In this paper, a numerical technique is developed for the solution of multi-term fractional differential equations (FDEs) upto fourth order by using...
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Existence of Unique Solutions to the Telegraph Equation in Binary Reproducing Kernel Hilbert Spaces
We demonstrate the existence of a unique solution to a nonhomogeneous telegraph initial/boundary value problem on the unit square in an appropriate...
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Special function form exact solutions for Jeffery fluid: an application of power law kernel
This research note’s objective is to elaborate on the study of the unsteady MHD natural convective flow of the Jeffery fluid with the fractional...
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Legendre Wavelets Direct Method for the Numerical Solution of Time-Fractional Order Telegraph Equations
In this paper, a Legendre wavelet collocation method for solving a class of time-fractional order telegraph equation defined by Caputo sense is...
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Euler–Poisson–Darboux equations and iterated fractional Brownian motions
In this note, we underline the interesting connection between the Euler–Poisson–Darboux (EPD)-type equations and iterated fractional Brownian...
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Fundamental Solution of the Multi-Dimensional Time Fractional Telegraph Equation
In this paper we study the fundamental solution (FS) of the multidimensional time-fractional telegraph equation where the time-fractional derivatives...