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New general integral transform on time scales | ||
| Journal of Mathematical Modeling | ||
| مقاله 4، دوره 12، شماره 4، اسفند 2024، صفحه 655-669 اصل مقاله (181.49 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2024.27193.2400 | ||
| نویسندگان | ||
| Tukaram Thange1؛ Sneha Chhatraband* 2 | ||
| 1Department of Mathematics, Yogeshwari Mahavidyalaya, Ambajogai, (M.S.), India-431517 | ||
| 2Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Chhatrapti Sambhajinagar, (M.S.), India-431004 | ||
| چکیده | ||
| In this paper, we introduce a single integral transform that defines all known time scales generalized integral transforms in the family of Laplace transform as the new general integral transform on time scales. As a result, a unified approach is developed for the use of integral transforms representing the family of Laplace transform for solving problems on continuous and discrete cases dynamics. The convergence conditions and some principal properties accompanying the convolution theorem are given. It is shown that all generalized integral transforms on time scales included in the family of the Laplace transform are special cases of a new general integral transform. The applicability of this transform is demonstrated by solving certain ordinary dynamic equations and integral equations. | ||
| کلیدواژه‌ها | ||
| Time scales؛ Integral transform؛ Dynamic equations | ||
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آمار تعداد مشاهده مقاله: 116 تعداد دریافت فایل اصل مقاله: 109 |
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