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2022 / December Volume 17 No.4
Stability of positive solutions for a class of nonlinear Hadamard type fractional differential equations with $p$-Laplacian
Published Date
2022 / December
Title
Stability of positive solutions for a class of nonlinear Hadamard type fractional differential equations with $p$-Laplacian
Author
Samah Horrigue
Keyword
Hadamard fractional derivative, integral equations, $p$-Laplacian operator, fixed point theorems, Hyers-Ulam stability
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Pagination
401-415
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.
DOI
10.21915/BIMAS.2022403
https://doi.org/10.21915/BIMAS.2022403
AMS Subject
Classification
34A08, 34A60, 34B15
Received
2022-07-28
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