Results 31 to 40 of about 34,984 (270)

On the consistency of MPS

, 2013
The consistency of Moving Particle Semi-implicit (MPS) method in reproducing the gradient, divergence and Laplacian differential operators is discussed in the present paper.
Cercos-Pita, Jose L., González, Leo M., Macià, Fabricio, Souto-Iglesias, Antonio   +3 more
core   +1 more source

Efficient Jacobi spectral-IRK method for one- and two-dimensional tempered fractional Allen-Cahn equations

AIMS Mathematics
Tempered fractional Allen-Cahn equations have many vital applications in science and engineering. The presence of a tempered fractional derivative enables these equations to efficiently explain more complex systems where long-range effects exist with an ...
Maged Z. Youssef, Mahmoud A. Zaky, Faizah A.H. Alomari, Amra Al Kenany, Samer Ezz-Eldien   +4 more
doaj   +1 more source

Fast, Accurate and Robust Adaptive Finite Difference Methods for Fractional Diffusion Equations: The Size of the Timesteps does Matter

, 2014
The computation time required by standard finite difference methods with fixed timesteps for solving fractional diffusion equations is usually very large because the number of operations required to find the solution scales as the square of the number of
Quintana-Murillo, Joaquin, Yuste, Santos B.   +1 more
core   +1 more source

Sharp mean-square regularity results for SPDEs with fractional noise and optimal convergence rates for the numerical approximations

, 2016
This article offers sharp spatial and temporal mean-square regularity results for a class of semi-linear parabolic stochastic partial differential equations (SPDEs) driven by infinite dimensional fractional Brownian motion with the Hurst parameter ...
Jiang, Fengze, Qi, Ruisheng, Wang, Xiaojie   +2 more
core   +1 more source

Periodic boundary value problems for fractional implicit differential equations involving Hilfer fractional derivative

Issues of Analysis, 2020
Motivated by the idea of implicit ordinary differential equations, in this work, authors consider a class of periodic boundary value problem for nonlinear implicit fractional differential equations. The derivative is taken in the sense of Hilfer fractional derivative.
M. A. Almalahi, M. S. Abdo, S. K. Panchal   +2 more
openaire   +3 more sources

Analysis of nonlinear implicit fractional differential equations with the Atangana-Baleanu derivative via measure of non-compactness

AIMS Mathematics
In this study, we proved existence results for nonlinear implicit fractional differential equations with the Caputo version of the Atangana-Baleanu derivative, subject to the boundary and nonlocal initial conditions.
Kishor D. Kucche, Sagar T. Sutar, Kottakkaran Sooppy Nisar   +2 more
doaj   +1 more source

Qualitative study on Hilfer-Katugampola fractional implicit differential equations

Open Journal of Mathematical Sciences, 2022
This paper solves implicit differential equations involving Hilfer-Katugampola fractional derivatives with nonlocal, boundary, and impulsive conditions. In addition, some sufficient conditions are formulated for the existence and uniqueness of solutions to the given problem, and Hyers-Ulam stability results are also presented.
E. M. Elsayed, S. Harikrishnan, D. Vivek, K. Kanagarajan   +3 more
openaire   +1 more source

Impulsive boundary value problems for nonlinear implicit Caputo-exponential type fractional differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2020
This paper deals with existence and uniqueness of solutions to a class of impulsive boundary value problem for nonlinear implicit fractional differential equations involving the Caputo-exponential fractional derivative. The existence results are based on
Ahmed Malti, Mouffak Benchohra, John Graef, Jamal-Eddine Lazreg   +3 more
doaj   +1 more source

On an explicit finite difference method for fractional diffusion equations

, 2003
A numerical method to solve the fractional diffusion equation, which could also be easily extended to many other fractional dynamics equations, is considered.
Gorenflo Rudolf, Gorenflo Rudolf, L. Acedo, Morton K., Podlubny Igor, S. B. Yuste   +5 more
core   +1 more source

Boundary Value Problem for Fractional Order Generalized Hilfer-Type Fractional Derivative with Non-Instantaneous Impulses

Fractal and Fractional, 2020
This manuscript is devoted to proving some results concerning the existence of solutions to a class of boundary value problems for nonlinear implicit fractional differential equations with non-instantaneous impulses and generalized Hilfer fractional ...
Abdelkrim Salim, Mouffak Benchohra, John R. Graef, Jamal Eddine Lazreg   +3 more
doaj   +1 more source