AIMS Mathematics, 2019, 4(4): 1101-1113. doi: 10.3934/math.2019.4.1101.

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Positive solutions for nonlinear Hadamard fractional differential equations with integral boundary conditions

Faculty of Sciences and Technology, Department of Mathematics and Informatics, University of Souk Ahras, P. O. Box 1553, Souk Ahras, 41000, Algeria

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In this paper, we prove the existence and uniqueness of a positive solution of nonlinear Hadamard fractional differential equations with integral boundary conditions. In the process we employ the Schauder and Banach fixed point theorems and the method of upper and lower solutions to show the existence and uniqueness of a positive solution. Finally, an example is given to illustrate our results.
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Citation: Abdelouaheb Ardjouni. Positive solutions for nonlinear Hadamard fractional differential equations with integral boundary conditions. AIMS Mathematics, 2019, 4(4): 1101-1113. doi: 10.3934/math.2019.4.1101

References

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