Stability of positive solutions for a class of nonlinear Hadamard type fractional differential equations with $p$-Laplacian
by
Samah Horrigue
Vol. 17 No. 4 (2022) P.401~P.415
DOI: | https://doi.org/10.21915/BIMAS.2022403 |
| 10.21915/BIMAS.2022403 |
ABSTRACT
In this paper, using fixed point methods, we will establish some existence theorems of solutions for integral boundary value problems of nonlinear Hadamard fractional differential equations with p-Laplacian. Also, the Hyers-Ulam stability of this class of problem
is studied. An example is included to show the applicability of our results.
KEYWORDS
Hadamard fractional derivative, integral equations,
$p$-Laplacian operator, fixed point theorems, Hyers-Ulam stability
MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 34A08, 34A60, 34B15
MILESTONES
Received: 2022-07-28
Revised :
Accepted:
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