In the current study we presented a distributed order form of Hilfer-Prabhakar (DHP) derivative, which in special cases reduces to the existent definitions of fractional or distributed order derivatives. Moreover, we analyzed the stability of DHP differential equations, which are the generalized form of all previous distributed or fractional differential equations. The obtained results showed that sufficient conditions on asymptotic stability of these systems have been obtained through the generalized properties of Mittag-Leer functions and the Laplace transform. Moreover, a number of conditions on stability analysis of such systems have been introduced by using a new definition of inertia of a matrix.
Distributed order fractional derivative Hilfer-Prabhakar derivative Asymptotic stability
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Matematik |
Yazarlar | |
Yayımlanma Tarihi | 1 Nisan 2018 |
Yayımlandığı Sayı | Yıl 2018 Cilt: 47 Sayı: 2 |