Initial value problem for a fractional neutral differential equation with infinite delay | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 95، دوره 12، شماره 1، مرداد 2021، صفحه 1195-1206 اصل مقاله (439.26 K) | ||
| نوع مقاله: Review articles | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2018.13488.1698 | ||
| نویسندگان | ||
| Mohammed S Abdo* ؛ Satish K. Panchal | ||
| Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, 431004 India | ||
| چکیده | ||
| We consider the initial value problem for a class of nonlinear fractional neutral functional differential equations with infinite delay involving the standard fractional derivative in the sense of Caputo. By using a variety of tools of fractional calculus including the Banach contraction principle and the Schaefer fixed point theorem, the existence, uniqueness and continuous dependence results are obtained in the space of continuous functions. | ||
| کلیدواژهها | ||
| fractional functional differential equations؛ fractional derivative and fractional integral؛ existence and continuous dependence؛ fixed point theorem | ||
| مراجع | ||
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