Results 41 to 50 of about 144 (101)

Hilfer proportional nonlocal fractional integro-multipoint boundary value problems

Open Mathematics, 2023
In this article, we introduce and study a boundary value problem for (k,χ¯*)\left(k,{\bar{\chi }}_{* })-Hilfer generalized proportional fractional differential equation of order in an interval (1, 2], equipped with integro-multipoint nonlocal boundary ...
Samadi Ayub, Ntouyas Sotiris K., Cuntavepanit Asawathep, Tariboon Jessada   +3 more
doaj   +1 more source

New Results for p‐Laplacian Fractional Instantaneous and Noninstantaneous Impulsive Differential Equations

Journal of Function Spaces, Volume 2024, Issue 1, 2024.
The p‐Laplacian fractional differential equations have been studied extensively because of their numerous applications in science and engineering. In this study, a class of p‐Laplacian fractional differential equations with instantaneous and noninstantaneous impulses is considered.
Wangjin Yao, Huiping Zhang, Shrideh K. Q. Al-Omari   +2 more
wiley   +1 more source

Existence and Multiplicity Results for Systems of First-Order Differential Equations via the Method of Solution-Regions

Advanced Nonlinear Studies, 2018
In this paper, we establish existence and multiplicity results for systems of first-order differential equations. To this end, we introduce the method of solution-regions.
Frigon Marlène
doaj   +1 more source

Existence of positive solutions for nonlocal second-order boundary value problem with variable parameter in Banach spaces

Fixed Point Theory and Applications, 2011
By obtaining intervals of the parameter λ, this article investigates the existence of a positive solution for a class of nonlinear boundary value problems of second-order differential equations with integral boundary conditions in abstract spaces ...
Zhang Peiguo
doaj  

Generalized (ψ,φ)-contraction to investigate Volterra integral inclusions and fractal fractional PDEs in super-metric space with numerical experiments

Nonlinear Engineering
This article demonstrates the behavior of generalized (ψ,φ\psi ,\varphi )-type contraction mappings involving expressions of rational-type in the context of super-metric spaces.
Shah Syed Khayyam, Sarwar Muhammad, Hleili Manel, Samei Mohammad Esmael, Abdeljawad Thabet   +4 more
doaj   +1 more source

Generalized quasilinearization method for a second order three point boundary-value problem with nonlinear boundary conditions

Electronic Journal of Differential Equations, 2002
The generalized quasilinearization technique is applied to obtain a monotone sequence of iterates converging uniformly and quadratically to a solution of three point boundary value problem for second order differential equations with nonlinear boundary ...
Bashir Ahmad, Rahmat Ali Khan, Paul W. Eloe   +2 more
doaj  

A new approach for solving Bratu’s problem

Demonstratio Mathematica, 2019
A numerical technique for one-dimensional Bratu’s problem is displayed in this work. The technique depends on Bernstein polynomial approximation. Numerical examples are exhibited to verify the efficiency and accuracy of the proposed technique.
Ghomanjani Fateme, Shateyi Stanford
doaj   +1 more source

Variational approach to Kirchhoff-type second-order impulsive differential systems

Open Mathematics
In this study, we consider a Kirchhoff-type second-order impulsive differential system with the Dirichlet boundary condition and obtain the existence and multiplicity of solutions to the impulsive problem via variational methods.
Yao Wangjin, Zhang Huiping
doaj   +1 more source

The generalized fractional order of the Chebyshev functions on nonlinear boundary value problems in the semi-infinite domain

Nonlinear Engineering, 2017
A new collocation method, namely the generalized fractional order of the Chebyshev orthogonal functions (GFCFs) collocation method, is given for solving some nonlinear boundary value problems in the semi-infinite domain, such as equations of the unsteady
Parand Kourosh, Delkhosh Mehdi
doaj   +1 more source

A Taylor-type numerical method for solving nonlinear ordinary differential equations

Alexandria Engineering Journal, 2013
A novel approximate method is proposed for solving nonlinear differential equations. Chang and Chang in [8] suggested a technique for calculating the one-dimensional differential transform of nonlinear functions.
H. Saberi Nik, F. Soleymani
doaj   +1 more source