LAUSR

Path Laplacian operators and superdiffusive processes on graphs. I. one-dimensional case

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0 Published in 2017 at "Linear Algebra and its Applications"

DOI: 10.1016/j.laa.2017.02.027

Abstract: We consider a generalization of the diffusion equation on graphs. This generalized diffusion equation gives rise to both normal and superdiffusive processes on infinite one-dimensional graphs. The generalization is based on the k-path Laplacian operators… read more here.

Keywords: superdiffusive processes; laplacian operators; one dimensional; path laplacian ... See more keywords

Path Laplacian operators and superdiffusive processes on graphs. II. Two-dimensional lattice

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0 Published in 2018 at "Linear Algebra and its Applications"

DOI: 10.1016/j.laa.2018.06.026

Abstract: Many physical systems are best represented by graphs G = (V,E), where the set of nodes (vertices) V represents the entities of the system and the set of edges E describes the interactions between these… read more here.

Keywords: superdiffusive processes; diffusion; laplacian operators; path laplacian ... See more keywords

A note on the combination between local and nonlocal p-Laplacian operators

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1 Published in 2019 at "Complex Variables and Elliptic Equations"

DOI: 10.1080/17476933.2019.1701450

Abstract: In this article, we give some results on a combination between local and nonlocal p-Laplacian operators. On the one hand, we investigate the Dancer-Fučík spectrum which is defined as the set of all points such… read more here.

Keywords: local nonlocal; laplacian operators; laplacian; combination local ... See more keywords

Positive Solutions for a System of Fractional Boundary Value Problems with r-Laplacian Operators, Uncoupled Nonlocal Conditions and Positive Parameters

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0 Published in 2022 at "Axioms"

DOI: 10.3390/axioms11040164

Abstract: In this paper, we investigate the existence and nonexistence of positive solutions for a system of Riemann–Liouville fractional differential equations with r-Laplacian operators, subject to nonlocal uncoupled boundary conditions that contain Riemann–Stieltjes integrals, various fractional… read more here.

Keywords: system; positive solutions; positive parameters; laplacian operators ... See more keywords

Symmetric and Non-Oscillatory Characteristics of the Neutral Differential Equations Solutions Related to p-Laplacian Operators

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1 Published in 2022 at "Symmetry"

DOI: 10.3390/sym14030566

Abstract: The main purpose of this research was to use the comparison approach with a first-order equation to derive criteria for non-oscillatory solutions of fourth-order nonlinear neutral differential equations with p Laplacian operators. We obtained new… read more here.

Keywords: symmetric non; neutral differential; non oscillatory; oscillatory characteristics ... See more keywords