In this article, we consider an initial value problem for a nonlinear differential equation with Riemann-Liouville fractional derivative. By proposing a new approach, we prove local existence and uniqueness of the solution when the nonlinear function on the right hand side of the equation under consideration is continuous on $(0,T]\times\mathbb{R}.$
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Fractional differential equations mean value theorem Nagumo-type uniqueness Peano-type existence theorem
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Matematik |
Yazarlar | |
Yayımlanma Tarihi | 6 Ekim 2020 |
Yayımlandığı Sayı | Yıl 2020 Cilt: 49 Sayı: 5 |