Results 51 to 60 of about 199 (102)

A local stabilized approach for approximating the modified time-fractional diffusion problem arising in heat and mass transfer. [PDF]

J Adv Res, 2021
Nikan O, Avazzadeh Z, Machado JAT.
europepmc   +1 more source

Symmetrization for Mixed Operators

Annales Mathematicae Silesianae
In this paper, we prove Talenti's comparison theorem for mixed local/nonlocal elliptic operators and derive the Faber–Krahn inequality for the first eigenvalue of the Dirichlet mixed local/nonlocal problem. Our findings are relevant to the fractional p&q–
Bahrouni Sabri
doaj   +1 more source

On a Method of Solution of Systems of Fractional Pseudo-Differential Equations. [PDF]

Fract Calc Appl Anal, 2021
Umarov S, Ashurov R, Ashurov R, Chen Y.
europepmc   +1 more source

Determination of the Order of Fractional Derivative for Subdiffusion Equations. [PDF]

Fract Calc Appl Anal, 2020
Ashurov R, Ashurov R, Umarov S.
europepmc   +1 more source

All-at-once multigrid approaches for one-dimensional space-fractional diffusion equations. [PDF]

Calcolo, 2021
Donatelli M, Krause R, Mazza M, Trotti K.   +3 more
europepmc   +1 more source

Non-existence, radial symmetry, monotonicity, and Liouville theorem of master equations with fractional p-Laplacian

Advances in Nonlinear Analysis
In this article, first, we introduce a new operator (∂t−Δp)su(z,t)=Cn,sp∫−∞t∫Rn∣u(z,t)−u(ζ,ϱ)∣p−2(u(z,t)−u(ζ,ϱ))(t−ϱ)n2+1+sp2e−∣z−ζ∣24(t−ϱ)dζdϱ,{\left({\partial }_{t}-{\Delta }_{p})}^{s}u\left(z,t)={C}_{n,sp}\underset{-\infty }{\overset{t}{\int }}\mathop{
Liu Mengru, Zhang Lihong
doaj   +1 more source

Unilateral problems for quasilinear operators with fractional Riesz gradients

Advances in Nonlinear Analysis
In this work, we develop the classical theory of monotone and pseudomonotone operators in the class of convex-constrained Dirichlet-type problems involving fractional Riesz gradients in bounded and in unbounded domains Ω⊂Rd\Omega \subset {{\mathbb{R ...
Campos Pedro Miguel, Rodrigues José Francisco   +1 more
doaj   +1 more source

A mathematical model of COVID-19 using fractional derivative: outbreak in India with dynamics of transmission and control. [PDF]

Adv Differ Equ, 2020
Shaikh AS, Shaikh IN, Nisar KS.
europepmc   +2 more sources

Monotonicity and symmetry of positive solutions to fractional p(x, ⋅)-Laplacian equation in bounded and unbounded domains

Demonstratio Mathematica
In this paper, we consider the following nonlinear elliptic equations involving the fractional p(x, ⋅)-Laplacian:(−Δ)p(x,⋅)su(x)=g(x,u(x),∇u(x)),x∈Ω,u(x)>0,x∈Ω,u(x)≡0,x∈RN\Ω, $$\begin{cases}{\left(-{\Delta}\right)}_{p\left(x,\cdot \right)}^{s}u\left(x ...
Wang Pengyan, Wang Zhihao
doaj   +1 more source

On a comprehensive model of the novel coronavirus (COVID-19) under Mittag-Leffler derivative. [PDF]

Chaos Solitons Fractals, 2020
Abdo MS, Shah K, Wahash HA, Panchal SK.
europepmc   +1 more source