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Existence results for hybrid fractional differential equations with Hilfer fractional derivative | ||
| Caspian Journal of Mathematical Sciences | ||
| مقاله 12، دوره 9، شماره 2، آذر 2020، صفحه 294-304 اصل مقاله (99.59 K) | ||
| نوع مقاله: Research Articles | ||
| شناسه دیجیتال (DOI): 10.22080/cjms.2019.16038.1382 | ||
| نویسندگان | ||
| O. Baghani* 1؛ D. Vivek2؛ k Kanagarajan3 | ||
| 1Department of Mathematics and Computer Sciences, Hakim Sabzevari University of Sabzevar, Sabzevar, Iran. | ||
| 2Department of Mathematics , Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641020, India. | ||
| 3Department of Mathematics \ Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641020, India. | ||
| تاریخ دریافت: 29 فروردین 1398، تاریخ بازنگری: 23 آذر 1398، تاریخ پذیرش: 24 آذر 1398 | ||
| چکیده | ||
| This paper investigates the solvability, existence and uniqueness of solutions for a class of nonlinear fractional hybrid differential equations with Hilfer fractional derivative in a weighted normed space. The main result is proved by means of a fixed point theorem due to Dhage. An example to illustrate the results is included. | ||
| کلیدواژه‌ها | ||
| Hybrid fractional differential equations؛ Initial value problem؛ Hilfer fractional derivative؛ Fixed point theorem؛ Existence | ||
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آمار تعداد مشاهده مقاله: 561 تعداد دریافت فایل اصل مقاله: 378 |
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