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 …

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 …

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 …

A linearized spectral Galerkin/finite difference approach is developed for variable fractional-
order nonlinear diffusion–reaction equations with a fixed time delay. The temporal …

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 …

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 …

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 …

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 …

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 …

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 …