Existence, uniqueness and numerical solution of stochastic fractional differential equations with integer and non-integer orders
[ X ]
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Inst Mathematical Sciences-Aims
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The parametrized approach is extended in this study to find solutions to differential equations with fractal, fractional, fractal-fractional, and piecewise derivatives with the inclusion of a stochastic component. The existence and uniqueness of the solution to the stochastic Atangana-Baleanu fractional differential equation are established using Caratheodory's existence theorem. For the solution of differential equations using piecewise differential operators, which take into account combining deterministic and stochastic processes utilizing certain significant mathematical tools such as fractal and fractal-fractional derivatives, the applicability of the parametrized technique is being examined. We discuss the crossover behaviors of the model obtained by including these operators and we present some illustrative examples for some problems with piecewise differential operators.
Açıklama
Anahtar Kelimeler
Caratheodory's conditions, fractal-fractional differentiation, piecewise calculus, parametrized method
Kaynak
Electronic Research Archive
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
32
Sayı
2
