Applications of new smart algorithm based on kernel method for variable fractional functional boundary value problems
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springernature
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This paper studies the variable fractional functional boundary value problems (VFF-BVPs) by considering Caputo fractional derivative. We use the reproducing kernel method (RKM) without the orthogonalization process as a smart scheme. For this purpose, we construct a reproducing kernel that does not satisfy the boundary condition of VFF-BVP. With this kernel, we can better approximate the solutions for VFF-BVP. Using this method increases the accuracy of the approximate solution so that a significant error analysis can be produced. Finally, two numerical examples are solved to illustrate the efficiency of the present method.
Açıklama
Anahtar Kelimeler
Caputo Fractional Derivative, Variable Fractional, Reproducing Kernel Method, Boundary Value Problems, Orthogonalization Process
Kaynak
International Journal of Dynamics and Control
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
