期刊： FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2021; 24 (2)
We study the duality theory for fractional resolvents, extending and improving some corresponding theorems on semigroups. As applications, we develop ......
期刊： FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2021; 24 (2)
This work is devoted to examining the uniqueness and existence of kinetic solutions for a class of scalar conservation laws involving a nonlocal super......
期刊： FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2021; 24 (2)
The theory of averaging is a classical component of applied mathematics and has been applied to solve some engineering problems, such as in the filed ......
期刊： FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2021; 24 (2)
We establish intertwining relations between Riesz potentials associated with fractional powers of minus-Laplacian and orthogonal Radon transforms R-j,......
期刊： FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2021; 24 (3)
In this paper, we develop a sliding method for the higher order fractional Laplacians. We first obtain the key ingredients to obtain monotonicity of s......
期刊： FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2021; 24 (3)
This paper introduces an efficient collocation solver, the generalized finite difference method (GFDM) combined with the recent-developed scale-depend......
期刊： FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2021; 24 (1)
In this paper, a weighted and shifted Grunwald-Letnikov difference (WSGD) Legendre spectral method is proposed to solve the two-dimensional nonlinear ......
期刊： FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2021; 24 (1)
In this paper, the long-time behavior of the Cesaro mean of the fundamental solution for fractional Heat equation corresponding to random time changes......
期刊： FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2021; 24 (1)
The concept of the renormalizatiori group (RG) emerged from the reriormalization of quantum field variables, which is typically used to deal with the ......
期刊： FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2020; 23 (2)
In this paper, we study the continuation of solutions to systems of Caputo fractional order differential equations. The continuation is constructed an......
期刊： FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2020; 23 (2)
In this paper, an integral inequality and the fractional Halanay inequalities with bounded time delays in fractional difference are investigated. By t......
期刊： FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2020; 23 (2)
This paper is devoted to the investigation of the kinetics of Hadamard-type fractional differential systems (HTFDSs) in two aspects. On one hand, the ......
期刊： FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2020; 23 (2)
In this paper, the existence of two nontrivial solutions for a fractional problem with critical exponent, depending on real parameters, is established......
期刊： FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2020; 23 (3)
This paper presents an averaging principle for fractional stochastic differential equations in R-n with fractional order 0 < alpha < 1. We obtai......
期刊： FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2020; 23 (3)
In this paper, we consider a Takagi-like function on 2-series field and give its 2-adic derivatives by applying Vladimirov operator. The 2-adic deriva......
