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Extremal Positive Solutions For The Distributed Order Fractional Hybrid Differential Equations | ||
| Computational Methods for Differential Equations | ||
| مقاله 4، دوره 1، شماره 2، دی 2013، صفحه 120-134 اصل مقاله (187.5 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Hossein Noroozi؛ Alireza Ansari* | ||
| Shahrekord University | ||
| چکیده | ||
| In this article, we prove the existence of extremal positive solution for the distributed order fractional hybrid differential equation $$int_{0}^{1}b(q)D^{q}[frac{x(t)}{f(t,x(t))}]dq=g(t,x(t)),$$ using a fixed point theorem in the Banach algebras. This proof is given in two cases of the continuous and discontinuous function $g$, under the generalized Lipschitz and Caratheodory conditions. | ||
| کلیدواژهها | ||
| Fractional hybrid differential equations؛ Distributed order؛ Extremal solutions؛ Banach algebra | ||
| مراجع | ||
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