Results 41 to 50 of about 35,364 (303)

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

Neutral functional sequential differential equations with Caputo fractional derivative on time scales

Fixed Point Theory and Algorithms for Sciences and Engineering, 2022
In this paper, we establish the existence and uniqueness of a solution for a class of initial value problems for implicit fractional differential equations with Caputo fractional derivative.
Jamal Eddine Lazreg, Nadia Benkhettou, Mouffak Benchohra, Erdal Karapinar   +3 more
doaj   +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

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

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

On fractional boundary value problems involving fractional derivatives with Mittag-Leffler kernel and nonlinear integral conditions

Advances in Difference Equations, 2021
In this paper, we consider two classes of boundary value problems for nonlinear implicit differential equations with nonlinear integral conditions involving Atangana–Baleanu–Caputo fractional derivatives of orders 0 < ϑ ≤ 1 ...
Mohammed S. Abdo, Thabet Abdeljawad, Saeed M. Ali, Kamal Shah   +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

Analysis of Coupled System of Implicit Fractional Differential Equations Involving Katugampola–Caputo Fractional Derivative [PDF]

Complexity, 2020
In this paper, we study the existence and uniqueness of solutions to implicit the coupled fractional differential system with the Katugampola–Caputo fractional derivative. Different fixed-point theorems are used to acquire the required results. Moreover, we derive some sufficient conditions to guarantee that the solutions to our considered system are ...
Manzoor Ahmad, Jiqiang Jiang, Akbar Zada, Syed Omar Shah, Jiafa Xu   +4 more
openaire   +2 more sources

A survey on fractional variational calculus

, 2018
Main results and techniques of the fractional calculus of variations are surveyed. We consider variational problems containing Caputo derivatives and study them using both indirect and direct methods.
Almeida, Ricardo, Torres, Delfim F. M.
core   +1 more source

On the Lightweight Potential of Laser Additive Manufactured NiTi Triply Periodic Minimal Sheet Lattices

Advanced Engineering Materials, EarlyView.
This study explores the lightweight potential of laser additive‐manufactured NiTi triply periodic minimal surface sheet lattices. It systematically investigates the effects of relative density and unit cell size on surface quality, deformation recovery, compression behavior, and energy absorption.
Haoming Mo, Shuo Qu, Shiming Gao, Xu Song   +3 more
wiley   +1 more source