Coupled Systems of Sequential Caputo and Hadamard Fractional Differential Equations with Coupled Separated Boundary Conditions

被引：19

作者：

Asawasamrit, Suphawat ^{[1
]}

Ntouyas, Sotiris K. ^{[2
,3
]}

Tariboon, Jessada ^{[1
]}

Nithiarayaphaks, Woraphak ^{[1
]}

机构：

[1] King Mongkuts Univ Technol North Bangkok, Intelligent & Nonlinear Dynam Innovat Res Ctr, Dept Math, Fac Sci Appl, Bangkok 10800, Thailand

[2] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece

[3] King Abdulaziz Univ, Dept Math, Fac Sci, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia

来源：

SYMMETRY-BASEL | 2018年 / 10卷 / 12期

关键词：

Caputo fractional derivative; Hadamard fractional derivative; coupled system; separated boundary conditions; existence;

D O I：

10.3390/sym10120701

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：

This paper studies the existence and uniqueness of solutions for a new coupled system of nonlinear sequential Caputo and Hadamard fractional differential equations with coupled separated boundary conditions, which include as special cases the well-known symmetric boundary conditions. Banach's contraction principle, Leray-Schauder's alternative, and Krasnoselskii's fixed-point theorem were used to derive the desired results, which are well-illustrated with examples.

引用

页数：17

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