ON SOLUTIONS OF FRACTAL FRACTIONAL DIFFERENTIAL EQUATIONS
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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
New class of differential and integral operators with fractional order and fractal dimension have been introduced very recently and gave birth to new class of differential and integral equations. In this paper, we derive exact solution of some important ordinary differential equations where the differential operators are the fractal-fractional. We presented a new numerical scheme to obtain solution in the nonlinear case. We presented the numerical simulation for different values of fractional orders and fractal dimension.
Açıklama
Anahtar Kelimeler
Factal fractional derivatives, power law kernel, exponential decay kernel, Mittag-Leffler kernel, Laplace transform
Kaynak
Discrete and Continuous Dynamical Systems-Series S
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
14
Sayı
10
