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On global existence and Ulam-Hyers stability of $\Psi-$Hilfer fractional integrodifferential equations | ||
Journal of Mathematical Modeling | ||
دوره 9، شماره 1، فروردین 2021، صفحه 119-135 اصل مقاله (317.44 K) | ||
نوع مقاله: Research Article | ||
شناسه دیجیتال (DOI): 10.22124/jmm.2020.16092.1405 | ||
نویسندگان | ||
Vinod Vijaykumar Kharat* 1؛ Anand Rajshekhar Reshimkar2 | ||
1Department~of~Mathematics, N. B. Navale Sinhgad College of Engg., Kegaon, Solapur-413255, India (M.S.) | ||
2Department of Mathematics, D. B. F. Dayanand College of Arts and Science, Solapur-413002, India (M.S.) | ||
چکیده | ||
In this sense, for this new fractional integrodifferential equation, we study the Ulam-Hyers and Ulam-Hyers-Rassias stability via successive approximation method. Further, we investigate the dependence of solutions on the initial conditions and uniqueness via $\epsilon-$approximated solution. | ||
کلیدواژهها | ||
Ulam-Hyers stability؛ $Psi-$Hilfer fractional derivative؛ fractional integrodifferential equations؛ Banach fixed-point theorem | ||
آمار تعداد مشاهده مقاله: 842 تعداد دریافت فایل اصل مقاله: 956 |