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Caputo-Hadamard fractional differential equation with impulsive boundary conditions | ||
| Journal of Mathematical Modeling | ||
| دوره 9، شماره 1، فروردین 2021، صفحه 93-106 اصل مقاله (300.33 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2020.16449.1447 | ||
| نویسندگان | ||
| Ankit Kumar Nain1؛ Ramesh Kumar Vats1؛ Avadhesh Kumar* 2 | ||
| 1Department of Mathematics and Scienti fic Computing, National Institute of Technology, Hamirpur, HP-177005, India | ||
| 2Department of Mathematics and Computer Science, Sri Sathya Sai Institute of Higher Learning, Prasanthi Nilayam(A.P.) - 515134, India | ||
| چکیده | ||
| This manuscript is concerned about the study of the existence and uniqueness of solutions for fractional differential equation involving Caputo Hadamard fractional operator of order $1 < \vartheta \leq 2$ with impulsive boundary conditions. The existence results are established firstly through the Banach Contraction Principle and then using Schauder's fixed point theorem. We present some examples to demonstrate the application of our main results. | ||
| کلیدواژه‌ها | ||
| Boundary value problem؛ impulses؛ Caputo-Hadamard fractional derivative؛ fixed point theorem | ||
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آمار تعداد مشاهده مقاله: 905 تعداد دریافت فایل اصل مقاله: 1,052 |
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