شماره ركورد كنفرانس :
3753
عنوان مقاله :
An efficient approximate method for solving fractional differential equations by using Bernoulli polynomials
عنوان به زبان ديگر :
An efficient approximate method for solving fractional differential equations by using Bernoulli polynomials
پديدآورندگان :
Keshavarz E Alzahra University , Ordokhani Y Alzahra University
كليدواژه :
fractional differential equations , Caputo fractional derivative , Riemann , Liouville fractional integration , Bernoulli polynomials , operational matrix , collocation method , numerical solution.
عنوان كنفرانس :
دومين كنفرانس ملي تركيبيات رمزنگاري و محاسبات
چكيده فارسي :
In the current study, the Bernoulli polynomials are used to obtain the numerical solution of fractional differential equations. For the concept of fractional derivative, we will use Caputo sense. Also, the Bernoulli operational matrix of fractional integration is utilized to reduce the problem to a set of algebraic equations. Finally, some examples are included for demonstrate the validity and applicability of our method.
چكيده لاتين :
In the current study, the Bernoulli polynomials are used to obtain the numerical solution of fractional differential equations. For the concept of fractional derivative, we will use Caputo sense. Also, the Bernoulli operational matrix of fractional integration is utilized to reduce the problem to a set of algebraic equations. Finally, some examples are included for demonstrate the validity and applicability of our method.
