ANALYSIS AND NEW APPLICATIONS OF FRACTAL FRACTIONAL DIFFERENTIAL EQUATIONS WITH POWER LAW KERNEL
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Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Inst Mathematical Sciences-Aims
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
We obtain the solutions of fractal fractional differential equations with the power law kernel by reproducing kernel Hilbert space method in this paper. We also apply the Laplace transform to get the exact solutions of the problems. We compare the exact solutions with the approximate solutions. We demonstrate our results by some tables and figures. We prove the efficiency of the proposed technique for fractal fractional differential equations.
Açıklama
Anahtar Kelimeler
power law kernel, reproducing kernel Hilbert space method, Malkus waterwheel model, numerical simulations, Fractal fractional differential equations
Kaynak
Discrete and Continuous Dynamical Systems-Series S
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
14
Sayı
10