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On boundary value problems of higher order abstract fractional integro-differential equations | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 15، دوره 7، شماره 2، اسفند 2016، صفحه 165-184 اصل مقاله (409.18 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2017.520 | ||
| نویسندگان | ||
| Sabri T. M. Thabet* 1؛ Machindra B. Dhakne2 | ||
| 1Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad - 431004, Maharashtra, India. | ||
| 2Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad - 431004, Maharashtra, India. | ||
| تاریخ دریافت: 03 شهریور 1394، تاریخ بازنگری: 10 اسفند 1394، تاریخ پذیرش: 18 آذر 1395 | ||
| چکیده | ||
| The aim of this paper is to establish the existence of solutions of boundary value problems of nonlinear fractional integro-differential equations involving Caputo fractional derivative by using the techniques such as fractional calculus, H\"{o}lder inequality, Krasnoselskii's fixed point theorem and nonlinear alternative of Leray-Schauder type. Examples are exhibited to illustrate the main results. | ||
| کلیدواژهها | ||
| Fractional integro-differential equations؛ boundary value problem؛ fixed point theorems | ||
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