Results 61 to 70 of about 187 (130)
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
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Boundary value problem for nonlinear fractional differential equations with delay
, 2017 We discuss the existence and uniqueness of a solution of a boundary value problem for a class of nonlinear fractional functional differential equations with delay involving Caputo fractional derivative. Our work relies on the Schauder fixed point theorem
Niazi, Azmat +3 more
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On existence and uniqueness of positive solutions to a class of fractional boundary value problems [PDF]
, 2011 The purpose of this paper is to investigate the existence and uniqueness of positive solutions for the following fractional boundary value problem D 0 + α u ( t ) + f ( t , u ( t ) ) = 0 , 0 < t < 1 , u ( 0
Harjani J +8 more
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Variational approach to Kirchhoff-type second-order impulsive differential systems
Open MathematicsIn 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
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On singular φ−Laplacian BVPs of nonlinear fractional differential equation [PDF]
This paper investigates the existence of multiple positive solutions for a class of φ−Laplacian boundary value problem with a nonlinear fractional differential equation and fractional boundary conditions.
TEMAR, Bahia +2 more
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Existence of multiple positive solutions for p-Laplacian multipoint boundary value problems on time scales [PDF]
, 2013 In this paper, we consider p-Laplacian multipoint boundary value problems on time scales. By using a generalization of the Leggett-Williams fixed point theorem due to Bai and Ge, we prove that a boundary value problem has at least three positive ...
Dogan, Abdulkadir, Abdulkadir Dogan
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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
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A Study on Iterative Solution of Population Dynamics Models
, 2012 In this paper, simple approximate solutions of differential equations pertaining to population dynamics are obtained using iterative method. When the order of approximation tends to infinity, the solutions obtained converge towards an exact solution in ...
Ganeswara Rao +3 more
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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
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Open Mathematics, 2020 In this paper, we study boundary value problems of fractional integro-differential equations and inclusions involving Hilfer fractional derivative.
Nuchpong Cholticha +2 more
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