Results 1 to 10 of about 205 (36)

Fractal-Fractional Mathematical Model Addressing the Situation of Corona Virus in Pakistan. [PDF]

open access: yesResults Phys, 2020
This work is the consideration of a fractal fractional mathematical model on the transmission and control of corona virus (COVID-19), in which the total population of an infected area is divided into susceptible, infected and recovered classes.
Shah K   +5 more
europepmc   +2 more sources

On a first-order differential system with initial and nonlocal boundary conditions

open access: yesDemonstratio Mathematica, 2022
This paper is devoted to the existence of solutions and the multiplicity of positive solutions of an initial-boundary value problem for a nonlinear first-order differential system with nonlocal conditions.
Ngoc Le Thi Phuong, Long Nguyen Thanh
doaj   +1 more source

Third-order differential equations with three-point boundary conditions

open access: yesOpen Mathematics, 2021
In this paper, a third-order ordinary differential equation coupled to three-point boundary conditions is considered. The related Green’s function changes its sign on the square of definition. Despite this, we are able to deduce the existence of positive
Cabada Alberto, Dimitrov Nikolay D.
doaj   +1 more source

A monotone iteration for a nonlinear Euler-Bernoulli beam equation with indefinite weight and Neumann boundary conditions

open access: yesOpen Mathematics, 2022
In this article, we focus on the existence of positive solutions and establish a corresponding iterative scheme for a nonlinear fourth-order equation with indefinite weight and Neumann boundary conditions y(4)(x)+(k1+k2)y″(x)+k1k2y(x)=λh(x)f(y(x)),x∈[0,1]
Wang Jingjing, Gao Chenghua, He Xingyue
doaj   +1 more source

Two-point nonlocal nonlinear fractional boundary value problem with Caputo derivative: Analysis and numerical solution

open access: yesNonlinear Engineering, 2022
This work presents the existential and unique results for the solution to a kind of high-order fractional nonlinear differential equations involving Caputo fractional derivative.
AhmadSoltani Leyla
doaj   +1 more source

Explicit Green functions for spin-orbit Hamiltonians [PDF]

open access: yes, 2007
We derive explicit expressions for Green functions and some related characteristics of the Rashba and Dresselhaus Hamiltonians with a uniform magnetic field.Comment: 8 ...
Bruening, Jochen   +2 more
core   +1 more source

Fixed point theory approach to boundary value problems for second-order difference equations on non-uniform lattices [PDF]

open access: yes, 2014
In this paper, by means of the appropriate Green’s function, an integral representation for the solutions of certain boundary value problems for second-order difference equations on (quadratic andq-quadratic) non-uniform lattices is presented.
Eduardo Godoy, Iván Area, Juan J Nieto
core   +1 more source

Relativistic wave equations with fractional derivatives and pseudodifferential operators

open access: yesJournal of Applied Mathematics, Volume 2, Issue 4, Page 163-197, 2002., 2002
We study the class of the free relativistic covariant equations generated by the fractional powers of the d′Alembertian operator (□1/n). The equations corresponding to n = 1 and 2 (Klein‐Gordon and Dirac equations) are local in their nature, but the multicomponent equations for arbitrary n > 2 are nonlocal. We show the representation of the generalized
Petr Závada
wiley   +1 more source

Hyers–Ulam stability of a coupled system of fractional differential equations of Hilfer–Hadamard type

open access: yesDemonstratio Mathematica, 2019
In this paper, existence and uniqueness of solution for a coupled impulsive Hilfer–Hadamard type fractional differential system are obtained by using Kransnoselskii’s fixed point theorem.
Ahmad Manzoor, Zada Akbar, Alzabut Jehad
doaj   +1 more source

Homoclinic solutions for linear and linearizable ordinary differential equations

open access: yesAbstract and Applied Analysis, Volume 5, Issue 2, Page 65-83, 2000., 2000
Using functional arguments, some existence results for the infinite boundary value problem x˙=F(t,x),x(−∞)=x(+∞) are given. A solution of this problem is frequently called, from Poincaré, homoclinic.
Cezar Avramescu, Cristian Vladimirescu
wiley   +1 more source

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