Results 71 to 80 of about 211 (181)

Simpson type integral inequalities for convex functions via Riemann-Liouville integrals

Filomat, 2017
In this paper some new inequalities of Simpson-type are established for the classes of functions whose derivatives of absolute values are convex functions via Riemann-Liouville integrals. Also, by special selections of n, we give some reduced results.
Set, Erhan, Akdemir, Ahmet Ocak, Ozdemir, M. Emin   +2 more
openaire   +8 more sources

Liouville properties for differential inequalities with (p,q)$(p,q)$ Laplacian operator

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract In this paper, we establish several Liouville‐type theorems for a class of nonhomogenenous quasilinear inequalities. In the first part, we prove various Liouville results associated with nonnegative solutions to Ps$P_s$ −Δpu−Δqu⩾us−1inΩ,$$\begin{equation} -\Delta _p u-\Delta _q u\geqslant u^{s-1} \, \text{ in }\, \Omega, \end{equation}$$where ...
Mousomi Bhakta, Anup Biswas, Roberta Filippucci   +2 more
wiley   +1 more source

Uncovering the Generation Mechanism of Low‐Frequency Chorus Waves (<0.1 fce_eq ${\boldsymbol{f}}_{\mathbf{c}\mathbf{e}\mathbf{\_}\mathbf{e}\mathbf{q}}$) During Active Geomagnetic Environments

Geophysical Research Letters, Volume 53, Issue 3, 16 February 2026.
Abstract Low‐frequency chorus waves (below 0.1 fce_eq ${f}_{\text{ce}\_\text{eq}}$, where fce_eq ${f}_{\text{ce}\_\text{eq}}$ is equatorial electron gyrofrequency) can induce the depletion of relativistic electrons in Earth's radiation belts by effective pitch angle scattering, demonstrating distinct effects on radiation belt dynamics compared to ...
Xuan Zhou, Xinliang Gao, Dedong Wang, Jiuqi Ma, Quanming Lu   +4 more
wiley   +1 more source

On multiplicative conformable fractional integrals: theory and applications

Boundary Value Problems
In this paper, we first introduce the multiplicative conformable left and right fractional integrals, followed by the derivation of key properties, such as integrability, boundedness, continuity, and the semi-group property, for the newly defined ...
Hüseyin Budak, Büşra Betül Ergün
doaj   +1 more source

Quantum footprints of Liouville integrable systems [PDF]

Reviews in Mathematical Physics, 2020
We discuss the problem of recovering geometric objects from the spectrum of a quantum integrable system. In the case of one degree of freedom, precise results exist. In the general case, we report on the recent notion of good labelings of asymptotic lattices.
openaire   +5 more sources

Positive solutions for superlinear Riemann-Liouville fractional boundary-value problems

Electronic Journal of Differential Equations, 2017
Using a perturbation argument, we establish the existence and uniqueness of a positive continuous solution for the following superlinear Riemann-Liouville fractional boundary-value problem $$\displaylines{ D^{\alpha }u( x) -u(x)\varphi (x,u(x))=0 ...
Imed Bachar, Habib Maagli, Vicentiu D. Radulescu   +2 more
doaj  

Matrix extensions of Liouville-Dirichlet-type integrals

Linear Algebra and its Applications, 1979
AbstractThe Dirichlet integral provides a formula for the volume over the k-dimensional simplex ω={x1,…,xk: xi⩾0, i=1,…,k, s⩽∑k1xi⩽T}. This integral was extended by Liouville. The present paper provides a matrix analog where now the region becomes Ω={V1,…,Vk: Vi>0, i=1,…,k, 0⩽∑Vi⩽t}, where now each Vi is a p×p symmetric matrix and A⩾B means that A−B is
openaire   +2 more sources

On the Riesz-Riemann-Liouville Integral [PDF]

Proceedings of the Edinburgh Mathematical Society, 1947
In a lecture at the Oslo Congress in 1936, Marcel Riesz introduced an important generalisation of the Riemann-Liouville integral of fractional order. Riesz's integral Iaf of order α is a multiple integral in m variables which converges uniformly when the real part of αexceeds m —2 and so represents an analytic function of the complex variable α.
openaire   +1 more source

On Non-Point Invertible Transformations of Difference and Differential-Difference Equations

Symmetry, Integrability and Geometry: Methods and Applications, 2010
Non-point invertible transformations are completely described for difference equations on the quad-graph and for their differential-difference analogues. As an illustration, these transformations are used to construct new examples of integrable equations
Sergey Ya. Startsev
doaj   +1 more source

Stability of Delay Hopfield Neural Networks with Generalized Riemann-Liouville Type Fractional Derivative. [PDF]

Entropy (Basel), 2023
Agarwal RP, Hristova S.
europepmc   +1 more source