Impulsive fractional q-integro-difference equations with separated boundary conditions

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• 作者：Bashir Ahmad ; ^a ; ^{bashirahmad_qau@yahoo.com" class="auth_mail" title="E-mail the corresponding author} ; Sotiris K. Ntouyas^a ; ^b ; ^{sntouyas@uoi.gr" class="auth_mail" title="E-mail the corresponding author} ; Jessada Tariboon^c ; ^{jessada.t@sci.kmutnb.ac.th" class="auth_mail" title="E-mail the corresponding author} ; Ahmed Alsaedi^a ; ^{aalsaedi@hotmail.com" class="auth_mail" title="E-mail the corresponding author} ; Hamed H. Alsulami^a ; ^{hamed9@hotmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Quantum calculus ; Impulsive fractional q-difference equations ; Existence ; Uniqueness ; Fixed point theorem
• 刊名：Applied Mathematics and Computation
• 出版年：2016
• 出版时间：30 April 2016
• 年：2016
• 卷：281
• 期：Complete
• 页码：199-213
• 全文大小：518 K

文摘

In this paper, we discuss the existence of solutions for impulsive fractional q-integro-difference equations with separated boundary conditions. Existence results are proved via fixed point theorems due to Krasnoselskii and O’Regan, while the uniqueness of solutions is accomplished by means of Banach’s contraction mapping principle. Examples illustrating the obtained results are also presented.