On boundary value problems of higher order abstract fractional integro-differential equations

	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، 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.
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
آمار تعداد مشاهده مقاله: 47,526 تعداد دریافت فایل اصل مقاله: 56,828

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