New variable-order fractional chaotic systems for fast image encryption
New variable-order fractional chaotic systems are proposed in this paper. A concept of short
memory is introduced where the initial point in the Caputo derivative is varied. The fractional …
memory is introduced where the initial point in the Caputo derivative is varied. The fractional …
Variable-order porous media equations: Application on modeling the S&P500 and Bitcoin price return
Y Tang, F Gharari, K Arias-Calluari… - Physical Review E, 2024 - APS
This article reveals a specific category of solutions for the 1+ 1 variable order (VO) nonlinear
fractional Fokker-Planck equations. These solutions are formulated using VO q-Gaussian …
fractional Fokker-Planck equations. These solutions are formulated using VO q-Gaussian …
A class of fractional differential hemivariational inequalities with application to contact problem
S Zeng, Z Liu, S Migorski - Zeitschrift für angewandte Mathematik und …, 2018 - Springer
In this paper, we study a class of generalized differential hemivariational inequalities of
parabolic type involving the time fractional order derivative operator in Banach spaces. We …
parabolic type involving the time fractional order derivative operator in Banach spaces. We …
An L1 type difference/Galerkin spectral scheme for variable-order time-fractional nonlinear diffusion–reaction equations with fixed delay
A linearized spectral Galerkin/finite difference approach is developed for variable fractional-
order nonlinear diffusion–reaction equations with a fixed time delay. The temporal …
order nonlinear diffusion–reaction equations with a fixed time delay. The temporal …
Existence and controllability for nonlinear fractional control systems with damping in Hilbert spaces
X Li, Z Liu, J Li, C Tisdell - Acta Mathematica Scientia, 2019 - Springer
In this paper, we are concerned with the existence of mild solution and controllability for a
class of nonlinear fractional control systems with damping in Hilbert spaces. Our first step is …
class of nonlinear fractional control systems with damping in Hilbert spaces. Our first step is …
Optimal feedback control for a class of fractional evolution equations with history-dependent operators
Y Liu, Z Liu, S Peng, CF Wen - Fractional Calculus and Applied Analysis, 2022 - Springer
In this paper, we will study optimal feedback control problems derived by a class of Riemann-
Liouville fractional evolution equations with history-dependent operators in separable …
Liouville fractional evolution equations with history-dependent operators in separable …
A class of time-fractional hemivariational inequalities with application to frictional contact problem
S Zeng, S Migórski - Communications in Nonlinear Science and Numerical …, 2018 - Elsevier
In this paper a class of elliptic hemivariational inequalities involving the time-fractional order
integral operator is investigated. Exploiting the Rothe method and using the surjectivity of …
integral operator is investigated. Exploiting the Rothe method and using the surjectivity of …
A computational approach for the solution of a class of variable-order fractional integro-differential equations with weakly singular kernels
B Parsa Moghaddam… - Fractional Calculus and …, 2017 - degruyter.com
A new computational approach for approximating of variable-order fractional derivatives is
proposed. The technique is based on piecewise cubic spline interpolation. The method is …
proposed. The technique is based on piecewise cubic spline interpolation. The method is …
High-order numerical algorithm and error analysis for the two-dimensional nonlinear spatial fractional complex Ginzburg–Landau equation
In this paper, we first construct an appropriate new generating function, and then based on
this function, we establish a fourth-order numerical differential formula approximating the …
this function, we establish a fourth-order numerical differential formula approximating the …
On the maximum principle for a time-fractional diffusion equation
Y Luchko, M Yamamoto - Fractional Calculus and Applied Analysis, 2017 - degruyter.com
In this paper, we discuss the maximum principle for a time-fractional diffusion equation∂ t α
u (x, t)=∑ i, j= 1 n∂ i (aij (x)∂ ju (x, t))+ c (x) u (x, t)+ F (x, t), t> 0, x∈ Ω⊂ R n, with the …
u (x, t)=∑ i, j= 1 n∂ i (aij (x)∂ ju (x, t))+ c (x) u (x, t)+ F (x, t), t> 0, x∈ Ω⊂ R n, with the …