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New approach to existence of solution for weighted Cauchy-type problem | ||
| Journal of Mathematical Modeling | ||
| مقاله 3، دوره 8، شماره 4، آذر 2020، صفحه 377-391 اصل مقاله (318.08 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2020.14983.1393 | ||
| نویسنده | ||
| Sandeep P. Bhairat* | ||
| Faculty of Engineering Mathematics \& Computer Science, Institute of Chemical Technology, Marathwada Campus, Jalna--431 203 (M.S.) India | ||
| چکیده | ||
| In this paper, we consider a singular differential equation involving Hilfer-Katugampola fractional derivative with the weighted initial condition. The Picard iterative technique has been successfully applied to obtain the existence of a unique solution. First, we derive an equivalent integral equation, then construct the successive approximations and use the ratio test to discuss its convergence. We demonstrate our results through a suitable illustrative example. | ||
| کلیدواژه‌ها | ||
| Fractional integrals and derivatives؛ Picard iterative technique؛ singular fractional differential equation؛ Cauchy-type problem | ||
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آمار تعداد مشاهده مقاله: 755 تعداد دریافت فایل اصل مقاله: 1,003 |
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