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Existence and uniqueness of integrable solutions of fractional order initial value equations | ||
| Journal of Mathematical Modeling | ||
| مقاله 2، دوره 6، شماره 2، اسفند 2018، صفحه 137-148 اصل مقاله (287.71 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2018.9971.1147 | ||
| نویسندگان | ||
| Bhausaheb Sontakke1؛ Amjad Shaikh* 2؛ Kottakkaran Nisar1 | ||
| 1Department of Mathematics, Poona College of Arts, Science and Commerce, Camp, Pune, India & Department of Mathematics, College of Arts and Science, Prince Sattam bin Abdulaziz University, Wadi Al-Dawaser 11991, Saudi Arabia | ||
| 2Department of Mathematics, Pratishthan Mahavidyalaya, Paithan, Aurangabad, India | ||
| چکیده | ||
| This paper is devoted to investigate some existence and uniqueness results of integrable solutions for nonlinear fractional order initial value differential equations involving Caputo operator. We develop the existence of integral solution using Schauder's fixed point theorem. In addition, by applying the Banach contraction principle, we establish uniqueness result. To illustrate the applicability of main results, two examples are presented. | ||
| کلیدواژه‌ها | ||
| Integrable solution؛ existence and uniqueness؛ Caputo operator؛ fixed point theorems | ||
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آمار تعداد مشاهده مقاله: 841 تعداد دریافت فایل اصل مقاله: 963 |
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