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Existence and continuation of solutions of Hilfer fractional differential equations | ||
Journal of Mathematical Modeling | ||
مقاله 10، دوره 7، شماره 1، خرداد 2019، صفحه 1-20 اصل مقاله (327.7 K) | ||
نوع مقاله: Research Article | ||
شناسه دیجیتال (DOI): 10.22124/jmm.2018.9220.1136 | ||
نویسنده | ||
Sandeep P. Bhairat* | ||
Department of mathematics, Institute of Chemical Technology, Mumbai--400 019 (M.S.), India | ||
چکیده | ||
In the present paper we consider initial value problems for Hilfer fractional differential equations and for system of Hilfer fractional differential equations. By using equivalent integral equations and some fixed point theorems, we study the local existence of solutions. We extend these local existence results globally with the help of continuation theorems and generalized Gronwall inequality. | ||
کلیدواژهها | ||
Fractional differential equations؛ local existence؛ continuation theorem؛ global solutions | ||
آمار تعداد مشاهده مقاله: 940 تعداد دریافت فایل اصل مقاله: 1,148 |