Add to ORKGIn this paper we investigate the numerical solution of Abel’s integral equations of the first and second kind by chebychev polynomials of the first,second,third and fourth kinds. Some numerical examples are presented to illustrate the method
International audienceAnalogy between Abel's integral equation and the integral of fractional order ...
High accuracy numerical methods are derived for solving Abel integral equations. These methods are b...
AbstractA numerical method to solve Abel-type integral equations of first kind is given. In this pap...
We give a new method for numerically solving Abel integral equations of first kind. An estimation fo...
In this article, we construct a numerical technique for solving the first and second kinds of Abel’s...
A method is presented for obtaining useful closed form solution of a system of generalized Abel inte...
AbstractA method is presented for obtaining useful closed form solution of a system of generalized A...
In this paper, a numerical approximation is drafted for solving the generalized Abel’s integral equa...
Chebyshev spectral method based on operational matrix is applied to both systems of fractional integ...
The main aim of this paper is to introduce a new class of orthogonal polynomials that generalizes th...
The goal of this paper is to investigate the following Abel’s integral equation of the second kind: ...
In this paper, the finite integration method and the operational matrix of fractional integration ar...
Fractional calculus and fractional differential equations (FDE) have many applications in different ...
AbstractThis paper gives a survey of the use of Chebyshev polynomials in the computation and the inv...
In this attempt, we introduce a new technique to solve main generalized Abel’s integral equations an...
International audienceAnalogy between Abel's integral equation and the integral of fractional order ...
High accuracy numerical methods are derived for solving Abel integral equations. These methods are b...
AbstractA numerical method to solve Abel-type integral equations of first kind is given. In this pap...
We give a new method for numerically solving Abel integral equations of first kind. An estimation fo...
In this article, we construct a numerical technique for solving the first and second kinds of Abel’s...
A method is presented for obtaining useful closed form solution of a system of generalized Abel inte...
AbstractA method is presented for obtaining useful closed form solution of a system of generalized A...
In this paper, a numerical approximation is drafted for solving the generalized Abel’s integral equa...
Chebyshev spectral method based on operational matrix is applied to both systems of fractional integ...
The main aim of this paper is to introduce a new class of orthogonal polynomials that generalizes th...
The goal of this paper is to investigate the following Abel’s integral equation of the second kind: ...
In this paper, the finite integration method and the operational matrix of fractional integration ar...
Fractional calculus and fractional differential equations (FDE) have many applications in different ...
AbstractThis paper gives a survey of the use of Chebyshev polynomials in the computation and the inv...
In this attempt, we introduce a new technique to solve main generalized Abel’s integral equations an...
International audienceAnalogy between Abel's integral equation and the integral of fractional order ...
High accuracy numerical methods are derived for solving Abel integral equations. These methods are b...
AbstractA numerical method to solve Abel-type integral equations of first kind is given. In this pap...