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Ulam stabilities for nonlinear fractional integro--differential equations with constant coefficient via Pachpatte's inequality | ||
| Journal of Mathematical Modeling | ||
| مقاله 10، دوره 8، شماره 3، شهریور 2020، صفحه 257-278 اصل مقاله (285.01 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2020.15923.1392 | ||
| نویسندگان | ||
| Shivaji Ramchandra Tate* 1؛ Hambirrao Tatyasaheb Dinde2 | ||
| 1Department of Mathematics, Kisan Veer Mahavidyalaya, Wai, India | ||
| 2Department of Mathematics, Karmaveer Bhaurao Patil College, Urun--Islampur, India | ||
| چکیده | ||
| In this article, we study some existence, uniqueness and Ulam type stability results for a class of boundary value problem for nonlinear fractional integro--differential equations with positive constant coefficient involving the Caputo fractional derivative. The main tools used in our analysis is based on Banach contraction principle, Schaefer's fixed point theorem and Pachpatte's integral inequality. Finally, results are illustrated with suitable example. | ||
| کلیدواژه‌ها | ||
| Boundary value conditions؛ Caputo's fractional derivative؛ fixed point؛ integral inequality؛ Stability | ||
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آمار تعداد مشاهده مقاله: 931 تعداد دریافت فایل اصل مقاله: 1,082 |
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