Results 121 to 130 of about 47,231 (266)

Representation of the solution of a system of fractional linear differential equations with Caputo derivatives for modeling processes in fractal media [PDF]

, 2023
Ж.Б. Ахмедова
openalex   +1 more source

A Caputo fractional derivative of a function with respect to another function [PDF]

Communications in nonlinear science & numerical simulation, 2016
R. Almeida
semanticscholar   +1 more source

Generalized Hyers–Ulam Stability of Laplace Equation With Neumann Boundary Condition in the Upper Half‐Space

Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 521-530, 30 January 2026.
ABSTRACT This paper investigates the generalized Hyers–Ulam stability of the Laplace equation subject to Neumann boundary conditions in the upper half‐space. Traditionally, Hyers–Ulam stability problems for differential equations are analyzed by examining the system's error, particularly in relation to a forcing term.
Dongseung Kang, Hoewoon B. Kim, Dojin Kim   +2 more
wiley   +1 more source

A normalized Caputo–Fabrizio fractional diffusion equation

AIMS Mathematics
We propose a normalized Caputo–Fabrizio (CF) fractional diffusion equation. The CF fractional derivative replaces the power-law kernel in the Caputo derivative with an exponential kernel, which avoids singularities. Compared to the Caputo derivative, the
Junseok Kim
doaj   +1 more source

Nonlocal problem with conjugation conditions for a degenerate higher order equations with the Caputo fractional derivative [PDF]

, 2021
B. Yu. Irgashev
openalex   +1 more source

The Analytical Solution for the Black-Scholes Equation with Two Assets in the Liouville-Caputo Fractional Derivative Sense

Mathematics, 2018
It is well known that the Black-Scholes model is used to establish the behavior of the option pricing in the financial market. In this paper, we propose the modified version of Black-Scholes model with two assets based on the Liouville-Caputo fractional ...
P. Sawangtong, Kamonchat Trachoo, Wannika Sawangtong, Benchawan Wiwattanapataphee   +3 more
semanticscholar   +1 more source

Fourth-order effective approximation of the normalized Riemann-Liouville tempered fractional derivatives and its applications

AIMS Mathematics
In this paper, a fourth-order quasi-compact approximation for the normalized Riemann-Liouville tempered fractional derivatives was proposed. Its effectiveness was proved by using the generating function method, and it was applied to the numerical ...
Jianxin Li, Zeshan Qiu
doaj   +1 more source

Consensus of Multiagent Systems Described by Various Noninteger Derivatives

Complexity, 2019
In this paper, we unify and extend recent developments in Lyapunov stability theory to present techniques to determine the asymptotic stability of six types of fractional dynamical systems.
G. Nava-Antonio, G. Fernández-Anaya, E. G. Hernández-Martínez, J. J. Flores-Godoy, E. D. Ferreira-Vázquez   +4 more
doaj   +1 more source

Survey and new results on boundary-value problems of singular fractional differential equations with impulse effects

Electronic Journal of Differential Equations, 2016
Firstly we prove existence and uniqueness of solutions of Cauchy problems of linear fractional differential equations (LFDEs) with two variable coefficients involving Caputo fractional derivative, Riemann-Liouville derivative, Caputo type Hadamard ...
Yuji Liu
doaj  

A highly accurate method for multi-term time fractional diffusion equation in two dimensions with ψ-Caputo fractional derivative

Results in Applied Mathematics
In this study, the ψ-Caputo fractional derivative (as a generalization of the classical Caputo derivative where the fractional derivative is defined with respect to the function ψ) is considered to introduce a class of multi-term time fractional 2D ...
M.H. Heydari, M. Razzaghi
doaj   +1 more source