Nonlocal boundary value problems for Hilfer-type pantograph fractional differential equations and inclusions

被引：0
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作者：
Athasit Wongcharoen
Sotiris K. Ntouyas
Jessada Tariboon
机构：
[1] King Mongkut’s University of Technology North Bangkok,Department of Mechanical Engineering Technology, College of Industrial Engineering Technology
[2] King Abdulaziz University,Nonlinear Analysis and Applied Mathematics (NAAM)
[3] University of Ioannina,Research Group, Department of Mathematics, Faculty of Science
[4] King Mongkut’s University of Technology North Bangkok,Department of Mathematics
来源：
Advances in Difference Equations | / 2020卷
关键词：
Hilfer fractional derivative; Pantograph fractional differential equations; Riemann–Liouville fractional derivative; Caputo fractional derivative; Boundary value problems; Existence and uniqueness; Fixed point theory; 26A33; 34A08; 34A60; 34B15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study boundary value problems, involving the Hilfer fractional derivative, for pantograph fractional differential equations and inclusions supplemented by nonlocal integral boundary conditions. Existence and uniqueness results are obtained by using well-known fixed point theorems for single and multi-valued functions. Examples illustrating our results are also presented.
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