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Pseudo-fractional differential equations and generalized g-Laplace transform
(2021-09-01)
In this article, we introduce a generalized g-Laplace transform and discuss some essential results of integral transform theory, in particular, involving a ψ-Hilfer pseudo-fractional derivative and function convolution. ...
A generalization of the kinetic equation using the prabhakar-type operators
(Honam Mathematical Society, 2017)
Fractional kinetic equations are investigated in order to
describe the various phenomena governed by anomalous reaction in
dynamical systems with chaotic motion. Many authors have pro-
vided solutions of various families ...
An the new riemann liouville fractional operator extended
(JS Publication, 2017)
In this paper we will introduce a new and modi ed Riemann-Liouville fractional operator that resulted from modifying the
extended fractional derivative due to M. Ozarslan. We will study some familiar functions regarding ...
The obstacle problem for the infinity fractional laplacian
(Springer, 2016-11)
Given g an α-H¨older continuous function defined on the boundary of a bounded domain Ω and given ψ a continuous obstacle defined in Ω, in this article, we find u an α-H¨older extension of g in Ω with u ≥ ψ. This function ...
Decay rates for second-order linear evolution problems with fractional laplacian operators
(Universidade Federal de Santa Maria, 2021)
Non-local Diffusion Equations Involving the Fractional p(·) -Laplacian
(2019-01-01)
In this paper we study a class of nonlinear quasi-linear diffusion equations involving the fractional p(·) -Laplacian with variable exponents, which is a fractional version of the nonhomogeneous p(·) -Laplace operator. The ...
Eigenvalues and minimizers for a non-standard growth non-local operator
(Academic Press Inc Elsevier Science, 2020-04)
In this article we study eigenvalues and minimizers of a fractional non-standard growth problem. We prove several properties on these quantities and their corresponding eigenfunctions.
A Hölder infinity Laplacian obtained as limit of Orlicz fractional Laplacians
(Springer, 2022-05)
This paper concerns the study of the asymptotic behavior of the solutions to a family of fractional type problems on a bounded domain, satisfying homogeneous Dirichlet boundary conditions. The family of differential operators ...
Fractional order Orlicz-Sobolev spaces
(Academic Press Inc Elsevier Science, 2019-04)
In this paper we define the fractional order Orlicz-Sobolev spaces, and prove its convergence to the classical Orlicz-Sobolev spaces when the fractional parameter s↑1 in the spirit of the celebrated result of Bourgain-Br ...
Magnetic fractional order orlicz-sobolev spaces
(Polish Academy of Sciences. Institute of Mathematics, 2021-01)
We define the notion of nonlocal magnetic Sobolev spaces with nonstandard growth for Lipschitz magnetic fields. In this context we prove a Bourgain-Brezis- Mironescu type formula for functions in this space as well as for ...