On a hybrid fractional Caputo–Hadamard boundary value problem with hybrid Hadamard integral boundary value conditions

被引：0
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作者：
Hakimeh Mohammadi
Shahram Rezapour
Sina Etemad
机构：
[1] Islamic Azad University,Department of Mathematics, Miandoab Branch
[2] Duy Tan University,Institute of Research and Development
[3] Duy Tan University,Faculty of Natural Sciences
[4] China Medical University,Department of Medical Research, China Medical University Hospital
[5] Azarbaijan Shahid Madani University,Department of Mathematics
来源：
Advances in Difference Equations | / 2020卷
关键词：
Fractional hybrid integro-differential equation; Hadamard integral; The Dhage fixed point results; The fractional Caputo–Hadamard derivative; 34A08; 34A12;
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摘要：
In the present research article, we find some important criteria on the existence of solutions for a class of the hybrid fractional Caputo–Hadamard differential equations and its corresponding inclusion problem supplemented with hybrid Hadamard integral boundary conditions. In this direction, we utilize some theorems due to Dhage’s fixed point results in our proofs. Finally, we demonstrate two numerical examples to confirm the validity of the main obtained results.
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