Results 81 to 90 of about 1,790 (138)

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

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

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

Boundary value problems for fractional differential equations with three-point fractional integral boundary conditions

Advances in Differential Equations, 2012
This article studies a boundary value problem of nonlinear fractional differential equations with three-point fractional integral boundary conditions. Some new existence results are obtained by applying standard fixed point theorems.
W. Sudsutad, J. Tariboon
semanticscholar   +1 more source

A generalization of Geraghty's theorem in partially ordered metric spaces and applications to ordinary differential equations

, 2012
The purpose of this article is to present some fixed point theorems for generalized contraction in partially ordered complete metric spaces. As an application, we give an existence and uniqueness for the solution of an initial-boundary-value problem.2000
M. Gordji, M. Ramezani, Y. Cho, S. Pirbavafa   +3 more
semanticscholar   +1 more source

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

Existence solutions for boundary value problem of nonlinear fractional q-difference equations

, 2013
In this paper, we discuss the existence of weak solutions for a nonlinear boundary value problem of fractional q-difference equations in Banach space. Our analysis relies on the Mönch’s fixed-point theorem combined with the technique of measures of weak ...
Wen-Xue Zhou, Hai-Zhong Liu
semanticscholar   +1 more source

The general differential-geometric structure of multidimensional Delsarte transmutation operators in parametric functional spaces and their applications in soliton theory. Part 2

, 2004
The structure properties of multidimensional Delsarte transmutation operators in parametirc functional spaces are studied by means of differential-geometric tools.
Golenia, J., Prykarpatsky, A. K., Prykarpatsky, Y. A., Samoilenko, A. M.   +3 more
core   +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