Results 41 to 50 of about 49,771 (197)
Abstract and Applied Analysis, 2013 We prove the existence and uniqueness of solutions for two classes of infinite delay nonlinear fractional order differential equations involving Riemann-Liouville fractional derivatives.
Azizollah Babakhani +2 more
doaj +1 more source
A Liouville theorem for superlinear heat equations on Riemannian manifolds
, 2019 We study the triviality of the solutions of weighted superlinear heat equations on Riemannian manifolds with nonnegative Ricci tensor. We prove a Liouville--type theorem for solutions bounded from below with nonnegative initial data, under an integral ...
Castorina, Daniele +2 more
core +1 more source
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
Existence Results for Fractional Differential Equations Under Weak Topology Features
Pan-American Journal of Mathematics, 2022 Using Krasnoselskii type fixed point theorem under the weak topology, we establish some sufficient conditions to ensure the existence of the weak solutions for kinds of initial value problems of fractional differential equations, involving Riemann ...
Ahmed Hallaci +3 more
doaj +1 more source
Three-circle theorems and Liouville-type theorems
Science China Mathematics14 ...
Jian, Run-Qiang, Zhang, Zhuhong
openaire +3 more sources
A quantitative version of Gordon's Theorem for Jacobi and Sturm-Liouville operators [PDF]
, 2014 We prove a quantitative version of Gordon's Theorem concerning absence of eigenvalues for Jacobi matrices and Sturm-Liouville operators with complex coefficients.Comment: 22 ...
Seifert, Christian
core
Levinson's Theorem for Non-local Interactions in Two Dimensions
, 1998 In the light of the Sturm-Liouville theorem, the Levinson theorem for the Schr\"{o}dinger equation with both local and non-local cylindrically symmetric potentials is studied. It is proved that the two-dimensional Levinson theorem holds for the case with
Chadan Kh +23 more
core +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
Fractional Noether's Theorem with Classical and Riemann-Liouville Derivatives
, 2012 We prove a Noether type symmetry theorem to fractional problems of the calculus of variations with classical and Riemann-Liouville derivatives. As result, we obtain constants of motion (in the classical sense) that are valid along the mixed classical ...
Frederico, Gastao S. F. +1 more
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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