Nonlocal Sequential Boundary Value Problems for Hilfer Type Fractional Integro-Differential Equations and Inclusions

被引：12
作者：
Phuangthong, Nawapol [1 ]
Ntouyas, Sotiris K. [2 ,3 ]
Tariboon, Jessada [1 ]
Nonlaopon, Kamsing [4 ]
机构：
[1] King Mongkuts Univ Technol North Bangkok, Fac Appl Sci, Dept Math, Intelligent & Nonlinear Dynam Innovat Res Ctr, Bangkok 10800, Thailand
[2] Univ Ioannina, Dept Math, Ioannina 45110, Greece
[3] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia
[4] Khon Kaen Univ, Fac Sci, Dept Math, Khon Kaen 40002, Thailand
来源：
MATHEMATICS | 2021年 / 9卷 / 06期
关键词：
fractional differential equations and inclusions; Hilfer fractional derivative; Riemann– Liouville fractional derivative; Caputo fractional derivative; boundary value problems; existence and uniqueness; fixed point theory;
D O I：
10.3390/math9060615
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present research, we study boundary value problems for fractional integro-differential equations and inclusions involving the Hilfer fractional derivative. Existence and uniqueness results are obtained by using the classical fixed point theorems of Banach, Krasnosel'skii, and Leray-Schauder in the single-valued case, while Martelli's fixed point theorem, a nonlinear alternative for multivalued maps, and the Covitz-Nadler fixed point theorem are used in the inclusion case. Examples are presented to illustrate our results.
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收藏
页数：19
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