We obtain in this article a solution of sequential differential equation involving theHadamard fractional derivative and focusing the\norders in the intervals (1, 2) and (2, 3). Firstly, we obtain the solution of the linear equations using variation of parameter technique,\nand next we investigate the existence theorems of the corresponding nonlinear types using some fixed-point theorems. Finally, some\nexamples are given to explain the theorems.
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