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Existence of a Unique Solution to a Fractional Partial Differential Equation and Its Continuous Dependence on Parameters [PDF]

open access: yesEntropy, 2021
In the present paper we give conditions under which there exists a unique weak solution for a nonlocal equation driven by the integrodifferential operator of fractional Laplacian type. We argue for the optimality of some assumptions.
Robert Stegliński
doaj   +2 more sources

Divergence and unique solution of equations [PDF]

open access: yesLogical Methods in Computer Science, 2019
We study proof techniques for bisimilarity based on unique solution of equations. We draw inspiration from a result by Roscoe in the denotational setting of CSP and for failure semantics, essentially stating that an equation (or a system of equations ...
Adrien Durier   +2 more
doaj   +9 more sources

The unique solvability conditions for a new class of absolute value equation [PDF]

open access: yesYugoslav Journal of Operations Research, 2023
In this article, we investigate the solution of a new class of the absolute value equation (NCAVE) A1x − |B1x − c| = d. Based on spectral radius condition, singular value condition and row and column W-property, some necessary and sufficient conditions ...
Kumar Shubham, Deepmala
doaj   +1 more source

The Convergence of Ishikawa Iteration for Generalized Φ-contractive Mappings

open access: yesResults in Nonlinear Analysis, 2021
Charles[1] proved the convergence of Picard-type iterative for generalized Φ−accretive non-self mappings in a real uniformly smooth Banach space. Based on the theorems of the zeros of strongly Φ−quasi-accretive and fixed points of strongly Φ−hemi ...
Linxin Li, Dingping Wu
doaj   +1 more source

Novel Global Harmony Search Algorithm for General Linear Complementarity Problem

open access: yesAxioms, 2022
Linear complementarity problem (LCP) is studied. After reforming general LCP as the system of nonlinear equations by NCP-function, LCP is equivalent to solving an unconstrained optimization model, which can be solved by a recently proposed algorithm ...
Longquan Yong
doaj   +1 more source

A fractional q-difference equation eigenvalue problem with p(t)-Laplacian operator

open access: yesNonlinear Analysis, 2021
This article is devoted to studying a nonhomogeneous boundary value problem involving Stieltjes integral for a more general form of the fractional q-difference equation with p(t)-Laplacian operator.
Chengbo Zhai, Jing Ren
doaj   +1 more source

A note on the unique solvability condition for generalized absolute value matrix equation

open access: yesJournal of Numerical Analysis and Approximation Theory, 2022
The spectral radius condition \[\rho (\vert A^{-1} \vert\cdot \vert B \vert)
Shubham Kumar, . Deepmala
doaj   +1 more source

Existence of solutions for hybrid modified ABC-fractional differential equations with p-Laplacian operator and an application to a waterborne disease model

open access: yesAlexandria Engineering Journal, 2023
In this article, we investigate some necessary and sufficient conditions required for the existence of solutions for modified ABC-fractional differential equations (mAB-FDEs) with p-Laplacian operator.
Hasib Khan   +2 more
doaj   +1 more source

A Novel Method for Intrinsic and Extrinsic Parameters Estimation by Solving Perspective-Three-Point Problem with Known Camera Position

open access: yesApplied Sciences, 2021
The aim of the perspective-three-point (P3P) problem is to estimate extrinsic parameters of a camera from three 2D–3D point correspondences, including the orientation and position information.
Kai Guo, Hu Ye, Junhao Gu, Honglin Chen
doaj   +1 more source

Base Station Planning Based on Region Division and Mean Shift Clustering

open access: yesMathematics, 2023
The problem of insufficient signal coverage of 5G base stations can be solved by building new base stations in areas with weak signal coverage. However, due to construction costs and other factors, it is not possible to cover all areas. In general, areas
Jian Chen   +4 more
doaj   +1 more source

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