Title of article
Existence and uniqueness of mild and classical solutions to fractional order Hadamard-type Cauchy problem
Author/Authors
Katatbeh ، Qutaibeh - Jordan University of Science and Technology , Al-Omari ، Ahmad - Al al-Bayt University
Pages
9
From page
827
To page
835
Abstract
We consider the existence and uniqueness of a mild and classical solution to impulsive nonlocal conditions fractional-order Hadamard-type Cauchy problem. The results are obtained by means of fixed point methods. Finally, we illustrate our results by an example of fractional-order Hadamard-type Cauchy problem.
Keywords
Hadamard fractional derivative , integral boundary conditions , fixed point theorems , impulsive equations.
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2016
Journal title
Journal of Nonlinear Science and Applications
Record number
2475763
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