We consider the fractional differential equation $^{c}D_{z}^{\alpha }f^{\prime }(z)+A(z)^{c}D_{z}^{\alpha }f(z)+B(z)f(z)=0$,
where $^{c}D_{z}^{\alpha }$\ be the Caputo fractional derivative of orders $0<\alpha \leq 1$, and $z$\ is complex number, $A(z),B(z)$\ be entire
functions. We will find conditions on $A(z),B(z)$\ which will guarantee that every solution $f\not\equiv 0$ of the equation will have infinite order.
The fractional derivative entire function infinite order complex domain..
Birincil Dil | İngilizce |
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Konular | Mühendislik |
Bölüm | Makaleler |
Yazarlar | |
Yayımlanma Tarihi | 1 Kasım 2022 |
Yayımlandığı Sayı | Yıl 2022 Cilt: 19 Sayı: 2 |