Results 51 to 60 of about 1,963 (215)
Mathematics, 2020 In this paper, we study the oscillatory behavior of solutions for a type of generalized proportional fractional differential equations with forcing and damping terms.
Jehad Alzabut +3 more
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New Approach to Weighted Newton‐Type Inequalities Using Riemann–Liouville Fractional Integrals
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this investigation paper, we present some weighted inequalities Newton‐type for various classes of functions utilizing Riemann–Liouville fractional integrals. The study begins by introducing a positive weighted function to derive a key integral equality essential for proving the main results.
Rubayyi T. Alqahtani, Hüseyin Budak
wiley +1 more source
Uniqueness and comparison principles for semilinear equations and inequalities in Carnot groups
Advances in Nonlinear Analysis, 2018 Variants of the Kato inequality are proved for distributional solutions of semilinear equations and inequalities on Carnot groups. Various applications to uniqueness, comparison of solutions and Liouville theorems are presented.
D’Ambrosio Lorenzo, Mitidieri Enzo
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On Hybrid Type Nonlinear Fractional Integrodifferential Equations
Mathematics, 2020 In this paper, we introduce and investigate a hybrid type of nonlinear Riemann Liouville fractional integro-differential equations. We develop and extend previous work on such non-fractional equations, using operator theoretical techniques, and find the ...
Faten H. Damag +2 more
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Non-Existence Results for Stable Solutions to Weighted Elliptic Systems including Advection Terms
Mathematics, 2022 In this paper, we study a non-linear weighted Grushin system including advection terms. We prove some Liouville-type theorems for stable solutions of the system, based on the comparison property and the bootstrap iteration.
Suleman Alfalqi
doaj +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we investigate several Riemann–Liouville fractional integral inequalities for higher‐order differentiable functions using a simple and novel approach. First, we present an inequality involving fractional integrals that generalizes the right‐hand side of the fundamental Hermite–Hadamard inequality to higher‐order derivatives ...
Samet Erden, Hüseyin Budak
wiley +1 more source
Existence and Multiplicity Results for Degenerate Elliptic Equations with Dependence on the Gradient
Boundary Value Problems, 2007 We study the existence of positive solutions for a class of degenerate nonlinear elliptic equations with gradient dependence. For this purpose, we combine a blowup argument, the strong maximum principle, and Liouville-type theorems to obtain a ...
Sebastian Lorca, Leonelo Iturriaga
doaj +2 more sources
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Constructing a biorthogonal structure from scratch, that is, defining a biorthogonal pair is quite tough. Because here the orthogonality must be established between two different sets. There are four known univariate biorthogonal polynomial sets, suggested by Laguerre, Jacobi, Hermite and Szegő‐Hermite polynomials, in the literature.
Esra Güldoğan Lekesiz
wiley +1 more source
A stochastic approach to a priori estimates and Liouville theorems for harmonic maps [PDF]
, 2011 peer reviewedNonlinear versions of Bismut type formulas for the differential of a harmonic map between Riemannian manifolds are used to establish a priori estimates for harmonic maps. A variety of Liouville type theorems is shown to follow as corollaries
Wang, Feng-Yu +3 more
core +1 more source
Composition of Fractional Integral and Derivative Operators: Summarised in Tables
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper compiles a complete, detailed list of composition properties for Riemann–Liouville fractional differintegrals, in all possible cases for orders anywhere in the complex plane, with the results presented clearly in a table for easy visual consumption.
Arran Fernandez
wiley +1 more source