Boundary value problem for nonlinear fractional differential equations with delay

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作者
Azmat Ullah Khan Niazi
Jiang Wei
Mujeeb Ur Rehman
Pang Denghao
机构
[1] Anhui University,School of Mathematical Sciences
[2] National University of Sciences and Technology (NUST),Department of Mathematics, School of Natural Sciences (SNS)
关键词
fractional functional differential equation; boundary value problem; existence and uniqueness of solutions; 34K37; 34B15;
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摘要
We discuss the existence and uniqueness of a solution of a boundary value problem for a class of nonlinear fractional functional differential equations with delay involving Caputo fractional derivative. Our work relies on the Schauder fixed point theorem and contraction mapping principle in a cone. We also include examples to show the applicability of our results.
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