scholarly journals Fractional boundary value problems: Analysis and numerical methods

2011 ◽  
Vol 14 (4) ◽  
Author(s):  
Neville Ford ◽  
M. Morgado
Keyword(s):  
Numerical Methods ◽  
Differential Equations ◽  
Numerical Solution ◽  
Boundary Value Problems ◽  
Existence And Uniqueness ◽  
Nonlinear Boundary ◽  
Boundary Value ◽  
Nonlinear Boundary Value Problems ◽  
Uniqueness Of The Solution ◽  
Fractional Boundary Value Problems

AbstractIn this paper we consider nonlinear boundary value problems for differential equations of fractional order α, 0 < α < 1. We study the existence and uniqueness of the solution and extend existing published results. In the last part of the paper we study a class of prototype methods to determine their numerical solution.

scholarly journals Singular perturbation for nonlinear boundary-value problems

1979 ◽  
Vol 2 (1) ◽  
pp. 61-68 ◽  
Author(s):  
Rina Ling
Keyword(s):  
Differential Equations ◽  
Singular Perturbation ◽  
Energy Distribution ◽  
Boundary Value Problems ◽  
Asymptotic Expansions ◽  
Nuclear Energy ◽  
Nonlinear Boundary ◽  
Boundary Value ◽  
Nonlinear Boundary Value Problems ◽  
Nonlinear Boundary Value

Asymptotic solutions of a class of nonlinear boundary-value problems are studied. The problem is a model arising in nuclear energy distribution. For large values of the parameter, the differential equations are of the singular-perturbation type and approximations are constructed by the method of matched asymptotic expansions.

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