AN EFFICIENT METHOD FOR SOLVING FRACTIONAL INTEGRAL AND DIFFERENTIAL EQUATIONS OF BRATU TYPE

S. Aydinlik*, A. Kiris

*Bu çalışma için yazışmadan sorumlu yazar

Araştırma sonucu: ???type-name???Makalebilirkişi

Özet

In this paper, the fractional integral and differential equations of Bratu type, which arise in many important physical phenomena, are investigated by an effective technique, Chebyshev Finite Difference Method with the help of fractional derivative in the concept of Caputo. The effect of the fractional derivative in the outcomes has great agreement with the nonlocality of the problem. The truncation and round of errors and convergence analyzes of the present method are also given. Numerical solutions of illustrative examples of the fractional integral and differential equations of Bratu type are given to highlight the validity and performance of the method. The results of the comparisons are very satisfied and show that the proposed technique is more effective and highly accurate than the other methods.

Orijinal dilİngilizce
Sayfa (başlangıç-bitiş)94-102
Sayfa sayısı9
DergiTurkish World Mathematical Society Journal of Applied and Engineering Mathematics
Hacim14
Basın numarası1
Yayın durumuYayınlandı - 2024

Bibliyografik not

Publisher Copyright:
© 2024, Işsık University, Department of Mathematics, all rights reserved.

Parmak izi

AN EFFICIENT METHOD FOR SOLVING FRACTIONAL INTEGRAL AND DIFFERENTIAL EQUATIONS OF BRATU TYPE' araştırma başlıklarına git. Birlikte benzersiz bir parmak izi oluştururlar.

Alıntı Yap