Archives

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