Existence theory and stability analysis to a system of boundary value problem

被引：31

作者：

Shah, Kamal ^{[1
]}

Tunc, Cemil ^{[2
]}

机构：

[1] Univ Malakand, Dept Math, Chakadara Dir L, Khyber Pakhtunk, Pakistan

[2] Yuzuncu Yil Univ, Fac Sci, Dept Math, Kampus Van, TR-65080 Van, Turkey

来源：

JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE | 2017年 / 11卷 / 06期

关键词：

Non-integer order differential equations; Coupled system; Boundary condition; Stability results; DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS; COUPLED SYSTEM; JERK; BOUNDEDNESS;

D O I：

10.1016/j.jtusci.2017.06.002

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The aims and objectives of this manuscript are devoted to investigate some adequate results for the existence of solution to a nonlinear coupled system of fractional order differential equations (FDEs). Appropriate conditions for the existence of at least one solution are developed by using a fixed point theorem of Leray Schauder type to the considered problem. Further, we also investigate the Hyers Ulam stability results for the proposed problem. Appropriate examples are given to demonstrate the established results. (C) 2017 The Authors. Production and hosting by Elsevier B.V. on behalf of Taibah University. This is an open access article under the CC BY-NC-ND license

引用

页码：1330 / 1342

页数：13

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