A coupled system of Hadamard type sequential fractional differential equations with coupled strip conditions

详细信息    查看全文

• 作者：Shorog Aljoudi^a ; ^{sh-aljoudi@hotmail.com" class="auth_mail" title="E-mail the corresponding author} ; Bashir Ahmad^a ; ^{bashirahmad_qau@yahoo.com" class="auth_mail" title="E-mail the corresponding author} ; Juan J. Nieto ; ^b ; ^{juanjose.nieto.roig@usc.es" class="auth_mail" title="E-mail the corresponding author} ; Ahmed Alsaedi^a ; ^{aalsaedi@hotmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Hadamard fractional derivative ; Coupled system ; Strip conditions ; Existence ; Fixed point
• 刊名：Chaos, Solitons & Fractals
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：91
• 期：Complete
• 页码：39-46
• 全文大小：468 K

文摘

We study a nonlocal boundary value problem of Hadamard type coupled sequential fractional differential equations supplemented with coupled strip conditions (nonlocal Riemann-Liouville integral boundary conditions). The nonlinearities in the coupled system of equations depend on the unknown functions as well as their lower order fractional derivatives. We apply Leray-Schauder alternative and Banach’s contraction mapping principle to obtain the existence and uniqueness results for the given problem. An illustrative example is also discussed.