Nonlinear Hadamard fractional differential equations with Hadamard type nonlocal non-conserved conditions

被引:0
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作者
Ahmed Alsaedi
Sotiris K Ntouyas
Bashir Ahmad
Aatef Hobiny
机构
[1] Abdulaziz University,Nonlinear Analysis and Applied Mathematics (NAAM)
[2] University of Ioannina,Research Group, Department of Mathematics, Faculty of Science
关键词
Hadamard fractional derivative; integral boundary conditions; fixed point theorems; 34A60; 34A08;
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摘要
In this paper, we discuss the existence and uniqueness of solutions for a boundary value problem of nonlinear Hadamard fractional differential equations and nonlocal non-conserved boundary conditions in terms of Hadamard integral. Our results are new in the present configuration and are based on some classical ideas of fixed point theory. We present several examples for the illustration of main results. A companion problem has also been studied. The paper concludes with some interesting observations.
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