Arbitrary order fractional differential equations and inclusions with new integro-multipoint boundary conditions

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作者
Sara Salem
Ahmed Alsaedi
Bashir Ahmad
Maryem Al-Yami
机构
[1] King Abdulaziz University,Nonlinear Analysis and Applied Mathematics (NAAM)—Research Group, Department of Mathematics, Faculty of Science
关键词
Caputo fractional derivative; Multi-point; Integral boundary conditions; Existence; Fixed point; 34A08; 34B10; 34B15;
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摘要
In this paper, we study a new boundary value problem of arbitrary order fractional differential equations equipped with new integro-multipoint boundary conditions. Existence and uniqueness results for the given problem are obtained by applying the standard tools of fixed point theory. We also extend the problem at hand to its inclusions case and prove an existence result for it by applying a fixed point theorem due to Bohnenblust and Karlin.
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