Imed Bachar, Habib Maagli
In this article, we study the superlinear fractional boundary-value problem
where , is the Riemann-Liouville fractional derivative and are such that . The function that may be singular at x=0 and x=1 is required to satisfy convenient hypotheses to be stated later. By means of a perturbation argument, we establish the existence, uniqueness and global asymptotic behavior of a positive continuous solution to the above problem.An example is given to illustrate our main results.
Submitted February 8, 2016. Published April 26, 2016.
Math Subject Classifications: 34A08, 34B15, 34B18, 34B27.
Key Words: Fractional differential equation; positive solution; Green's function; perturbation arguments.
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| Imed Bachar |
King Saud University, College of Science
Mathematics Department, P.O. Box 2455
Riyadh 11451, Saudi Arabia
| Habib Mâagli |
King Abdulaziz University, Rabigh Campus
College of Sciences and Arts, Department of Mathematics
P.O. Box 344, Rabigh 21911, Saudi Arabia
email: firstname.lastname@example.org, email@example.com
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