Results 51 to 60 of about 35,805 (203)

Fractional Order Runge–Kutta Methods

Fractal and Fractional, 2023
This paper presents a new class of fractional order Runge–Kutta (FORK) methods for numerically approximating the solution of fractional differential equations (FDEs).
Farideh Ghoreishi, Rezvan Ghaffari, Nasser Saad   +2 more
doaj   +1 more source

Terminal Value Problem for Implicit Katugampola Fractional Differential Equations in b-Metric Spaces

Journal of Function Spaces, 2021
This manuscript deals with a class of Katugampola implicit fractional differential equations in b-metric spaces. The results are based on the α−φ-Geraghty type contraction and the fixed point theory. We express an illustrative example.
Salim Krim, Saïd Abbas, Mouffak Benchohra, Erdal Karapinar   +3 more
doaj   +1 more source

Initial value problems for Caputo-Fabrizio implicit fractional differential equations in b-metric spaces

Bulletin of the Transilvania University of Brasov Series III Mathematics and Computer Science, 2021
This article deals with some existence results for some classes of Caputo–Fabrizio implicit fractional differential equations in b-metric spaces with ini-tial conditions. The results are based on some fixed point theorems.
S. Abbas, M. Benchohra, S. Krim
semanticscholar   +1 more source

Novel fixed point technique to coupled system of nonlinear implicit fractional differential equations in complex valued fuzzy rectangular $ b $-metric spaces

AIMS Mathematics, 2022
The fundamental purpose of this research is to investigate the existence theory as well as the uniqueness of solutions to a coupled system of fractional order differential equations with Caputo derivatives.
Sumaiya Tasneem Zubair, Kalpana Gopalan, T. Abdeljawad, Nabil Mlaiki   +3 more
semanticscholar   +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

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

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

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

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