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Existence of solutions for a class of Boundary value problems involving Riemann Liouville derivative with respect to a function
Journal article   Open access  Peer reviewed

Existence of solutions for a class of Boundary value problems involving Riemann Liouville derivative with respect to a function

A. Nouf, W. M. Shammakh and A. Ghanmi
Filomat, Vol.37(4), pp.1261-1270
01/01/2023

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this article, we study some class of fractional boundary value problem involving generalized Riemann Liouville derivative with respect to a function and the p-Laplace operator. Precisely, using variational methods combined with the mountain pass theorem, we prove that such problem has a nontrivial weak solution. Our main result significantly complement and improves some previous papers in the literature.
url
https://doi.org/10.2298/FIL2304261NView
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