Results 51 to 60 of about 1,557 (138)

A Preconditioned Fast Finite Volume Method for Distributed-Order Diffusion Equation and Applications

East Asian Journal on Applied Mathematics, 2019
A Crank-Nicolson finite volume scheme for the modeling of the Riesz space distributed-order diffusion equation is proposed. The corresponding linear system has a symmetric positive definite Toeplitz matrix.
Hongfei Fu
semanticscholar   +1 more source

Fractional Calculus of Variations for Double Integrals [PDF]

, 2011
We consider fractional isoperimetric problems of calculus of variations with double integrals via the recent modified Riemann-Liouville approach. A necessary optimality condition of Euler-Lagrange type, in the form of a multitime fractional PDE, is ...
Odzijewicz, Tatiana, Torres, Delfim F. M.   +1 more
core   +3 more sources

Nonautonomous fractional problems with exponential growth

, 2014
We study a class of nonlinear non-autonomous nonlocal equations with subcritical and critical exponential nonlinearity.
Miyagaki, Olimpio H., Squassina, Marco, Ó, João Marcos do   +2 more
core   +1 more source

Ground-state solutions for fractional Kirchhoff-Choquard equations with critical growth

Advances in Nonlinear Analysis
We study the following fractional Kirchhoff-Choquard equation: a+b∫RN(−Δ)s2u2dx(−Δ)su+V(x)u=(Iμ*F(u))f(u),x∈RN,u∈Hs(RN),\left\{\begin{array}{l}\left(a+b\mathop{\displaystyle \int }\limits_{{{\mathbb{R}}}^{N}}{\left|{\left(-\Delta )}^{\frac{s}{2}}u\right|}
Yang Jie, Chen Haibo
doaj   +1 more source

The generalized differential transform method for solution of a free vibration linear differential equation with fractional derivative damping

Journal of Applied Mathematics and Computational Mechanics, 2019
In the present paper, the Generalized Differential Transform Method (GDTM) is used for obtaining the approximate analytic solutions of a free vibration linear differential equation of a single-degree-of-freedom (SDOF) system with fractional derivative ...
D. Das
semanticscholar   +1 more source

An Analog of the Tricomi Problem for a Mixed Type Equation with a Partial Fractional Derivative [PDF]

, 2010
Mathematics Subject Classification 2010: 35M10, 35R11, 26A33, 33C05, 33E12, 33C20.The paper deals with an analog of Tricomi boundary value problem for a partial differential equation of mixed type involving a diffusion equation with the Riemann-Liouville
Kilbas, Anatoly, Repin, Oleg
core  

Non-existence of periodic solutions in fractional-order dynamical systems and a remarkable difference between integer and fractional-order derivatives of periodic functions

, 2011
Using the Mellin transform approach, it is shown that, in contrast with integer-order derivatives, the fractional-order derivative of a periodic function cannot be a function with the same period.
Kaslik, Eva, Sivasundaram, Seenith
core   +1 more source

A note on the Dancer–Fučík spectra of the fractional p-Laplacian and Laplacian operators

Advances in Nonlinear Analysis, 2015
We study the Dancer–Fučík spectrum of the fractional p-Laplacian operator. We construct an unbounded sequence of decreasing curves in the spectrum using a suitable minimax scheme. For p = 2, we present a very accurate local analysis.
Perera Kanishka, Squassina Marco, Yang Yang   +2 more
doaj   +1 more source

Fractional Hardy-Sobolev equations with nonhomogeneous terms

Advances in Nonlinear Analysis, 2021
This paper deals with existence and multiplicity of positive solutions to the following class of nonlocal equations with critical nonlinearity:
Bhakta Mousomi, Chakraborty Souptik, Pucci Patrizia   +2 more
doaj   +1 more source

FDM for fractional parabolic equations with the Neumann condition

, 2013
In the present study, the first and second order of accuracy stable difference schemes for the numerical solution of the initial boundary value problem for the fractional parabolic equation with the Neumann boundary condition are presented.
A. Ashyralyev, Zafer Cakir
semanticscholar   +1 more source