Results 81 to 90 of about 1,841 (156)

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

Infinitely many homoclinic solutions for a class of second-order Hamiltonian systems

Advances in Differential Equations, 2014
In this paper, we deal with the existence of infinitely many homoclinic solutions for a class of second-order Hamiltonian systems. By using the dual fountain theorem, we give some new criteria to guarantee that the second-order Hamiltonian systems have ...
Huiwen Chen, Zhimin He
semanticscholar   +1 more source

Some Coincidence Point Theorems for Nonlinear Contraction in Ordered Metric Spaces

, 2011
We establish new coincidence point theorems for nonlinear contraction in ordered metric spaces. Also, we introduce an example to support our results. Some applications of our obtained results are given.MSC: 54H25; 47H10; 54E50; 34B15.
W. Shatanawi, Z. Mustafa, N. Tahat
semanticscholar   +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

Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients. [PDF]

Bound Value Probl, 2023
Li C.
europepmc   +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

Boundary value problems of Hilfer-type fractional integro-differential equations and inclusions with nonlocal integro-multipoint boundary conditions

Open Mathematics, 2020
In this paper, we study boundary value problems of fractional integro-differential equations and inclusions involving Hilfer fractional derivative.
Nuchpong Cholticha, Ntouyas Sotiris K., Tariboon Jessada   +2 more
doaj   +1 more source