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Basic results on distributed order fractional hybrid differential equations with linear perturbations | ||
| Journal of Mathematical Modeling | ||
| مقاله 4، دوره 2، شماره 1، آذر 2014، صفحه 55-73 اصل مقاله (238.76 K) | ||
| نوع مقاله: Research Article | ||
| نویسندگان | ||
| Hossein Noroozi؛ Alireza Ansari* | ||
| چکیده | ||
| In this article, we develop the distributed order fractional hybrid differential equations (DOFHDEs) with linear perturbations involving the fractional Riemann-Liouville derivative of order $0 < q < 1$ with respect to a nonnegative density function. Furthermore, an existence theorem for the fractional hybrid differential equations of distributed order is proved under the mixed $\varphi$-Lipschitz and Caratheodory conditions. Some basic fractional differential inequalities of distributed order are utilized to prove the existence of extremal solutions and comparison principle | ||
| کلیدواژهها | ||
| Fractional hybrid differential equations؛ distributed order؛ extremal solutions؛ Banach algebra | ||
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آمار تعداد مشاهده مقاله: 1,905 تعداد دریافت فایل اصل مقاله: 1,749 |
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