Results 1 to 10 of about 28 (28)

Using Krasnoselskii's theorem to investigate the Cauchy and neutral fractional q-integro-differential equation via numerical technique

open access: yesNonlinear Engineering, 2022
This article discusses the stability results for solution of a fractional q-integro-differential problem via integral conditions. Utilizing the Krasnoselskii’s, Banach fixed point theorems, we demonstrate existence and uniqueness results.
Yue Xiao-Guang   +4 more
doaj   +1 more source

Uniqueness of positive solutions for boundary value problems associated with indefinite ϕ-Laplacian-type equations

open access: yesOpen Mathematics, 2021
This paper provides a uniqueness result for positive solutions of the Neumann and periodic boundary value problems associated with the ϕ-Laplacian equation (ϕ(u′))′+a(t)g(u)=0,(\phi \left(u^{\prime} ))^{\prime} +a\left(t)g\left(u)=0, where ϕ is a ...
Boscaggin Alberto   +2 more
doaj   +1 more source

π/4-tangentiality of solutions for one-dimensional Minkowski-curvature problems

open access: yesAdvances in Nonlinear Analysis, 2020
We analyze π4$\begin{array}{} \frac{\pi}{4} \end{array} $-tangentiality of solutions for several types of scalar equations and systems of one-dimensional Minkowski-curvature problems with two points Dirichlet boundary conditions, which is dependent on ...
Yang Rui, Sim Inbo, Lee Yong-Hoon
doaj   +1 more source

On multi-step methods for singular fractional q-integro-differential equations

open access: yesOpen Mathematics, 2021
The objective of this paper is to investigate, by applying the standard Caputo fractional q-derivative of order α\alpha , the existence of solutions for the singular fractional q-integro-differential equation Dqα[k](t)=Ω(t,k1,k2,k3,k4){{\mathcal{D}}}_{q}^
Hajiseyedazizi Sayyedeh Narges   +3 more
doaj   +1 more source

Positive solution for singular third-order BVPs on the half line with first-order derivative dependence

open access: yesActa Universitatis Sapientiae: Mathematica, 2021
In this paper, we investigate the existence of a positive solution to the third-order boundary value problem {-u‴(t)+k2u′(t)=φ(t)f(t,u(t),u′(t)),   t>0u(0)=u′(0)=u′(+∞)=0,\left\{ \matrix{- u'''\left( t \right) + {k^2}u'\left( t \right) = \phi \left( t ...
Benmezaï Abdelhamid   +1 more
doaj   +1 more source

Boundary value problems associated with singular strongly nonlinear equations with functional terms

open access: yesAdvances in Nonlinear Analysis, 2020
We study boundary value problems associated with singular, strongly nonlinear differential equations with functional terms of ...
Biagi Stefano   +3 more
doaj   +1 more source

Boundary Layer Effects on Ionic Flows Via Classical Poisson-Nernst-Planck Systems

open access: yesComputational and Mathematical Biophysics, 2018
A quasi-one-dimensional steady-state Poisson-Nernst-Planck model of two oppositely charged ion species through a membrane channel is analyzed. The model problem is treated as a boundary value problem of a singularly perturbed differential system.
Zhang Mingji
doaj   +1 more source

On singularly weighted generalized Laplacian systems and their applications

open access: yesAdvances in Nonlinear Analysis, 2018
We study the homogeneous Dirichlet boundary value problem of generalized Laplacian systems with a singular weight which may not be integrable. Some explicit intervals which correspond to the existence and nonexistence of positive solutions for the system
Xu Xianghui, Lee Yong-Hoon
doaj   +1 more source

An efficient numerical method for solving nonlinear Thomas-Fermi equation

open access: yesActa Universitatis Sapientiae: Mathematica, 2018
In this paper, the nonlinear Thomas-Fermi equation for neutral atoms by using the fractional order of rational Chebyshev functions of the second kind (FRC2), FUnα(t,L)${\rm{FU}}_{\rm{n}}^\alpha \left( {{\rm{t}},{\rm{L}}} \right)$ (t, L), on an unbounded
Parand Kourosh   +2 more
doaj   +1 more source

Periodic solutions for second order differential equations with indefinite singularities

open access: yesAdvances in Nonlinear Analysis, 2019
In this paper, the problem of periodic solutions is studied for second order differential equations with indefinite ...
Lu Shiping, Yu Xingchen
doaj   +1 more source

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