Results 41 to 50 of about 117,183 (190)

On the Fractional Inequalities of the Milne Type

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Our investigations in this paper revolve around exploring fractional variants of inequalities of Milne type by applying twice differentiable convex mappings. Based on some principles of convexity, Hölder inequality, and power‐mean inequality, novel inequalities are derived.
Hüseyin Budak   +2 more
wiley   +1 more source

Existence results for fractional differential inclusions with Erdélyi-Kober fractional integral conditions

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this paper, we discus the existence of solutions for Riemann- Liouville fractional differential inclusions supplemented with Erdélyi- Kober fractional integral conditions.
Ahmad Bashir, Ntouyas Sotiris K.
doaj   +1 more source

Multiplicity of Homoclinic Solutions for Fractional Hamiltonian Systems with Subquadratic Potential

open access: yesEntropy, 2017
In this paper, we study the existence of homoclinic solutions for the fractional Hamiltonian systems with left and right Liouville–Weyl derivatives. We establish some new results concerning the existence and multiplicity of homoclinic solutions for the ...
Neamat Nyamoradi   +3 more
doaj   +1 more source

Existence Results for Fractional Differential Equations Under Weak Topology Features

open access: yesPan-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

Studies on Fractional Differential Equations With Functional Boundary Condition by Inverse Operators

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Fractional differential equations (FDEs) generalize classical integer‐order calculus to noninteger orders, enabling the modeling of complex phenomena that classical equations cannot fully capture. Their study has become essential across science, engineering, and mathematics due to their unique ability to describe systems with nonlocal ...
Chenkuan Li
wiley   +1 more source

Liouville Type Theorem about $p$-harmonic 1 form, $p$-harmonic map and harmonic $ q $ form [PDF]

open access: yesarXiv, 2022
In this paper, we will use the normalized intetral Ricci curvature to investigate Liouville type property of $ p $ harmonic function on Riemannian manifold. secondly, we will use the BiRic curvature to obtian Liuville theorem for $ p $ harmonic function or $ p $ harmonic 1 form.
arxiv  

The Existence and Uniqueness of Solutions for a Class of Nonlinear Fractional Differential Equations with Infinite Delay

open access: yesAbstract 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

Quantum gravity from timelike Liouville theory

open access: yesJournal of High Energy Physics, 2019
A proper definition of the path integral of quantum gravity has been a long- standing puzzle because the Weyl factor of the Euclidean metric has a wrong-sign kinetic term.
Teresa Bautista   +2 more
doaj   +1 more source

Photon Number Coherence in Quantum Dot‐Cavity Systems can be Enhanced by Phonons

open access: yesAdvanced Quantum Technologies, EarlyView.
Photon number coherence (PNC) is important for quantum cryptography. Because of that, the PNC within a quantum dot‐cavity system is investigated theoretically. Phonons, which interact with the quantum dot, surprisingly do not necessarily decrease PNC. It is demonstrated that it is possible to optimize other figures of merit without significant penalty ...
Paul C. A. Hagen   +4 more
wiley   +1 more source

Existence of positive solution to the boundary value problems for coupled system of nonlinear fractional differential equations

open access: yesAIMS Mathematics, 2019
In this paper, we investigate the existence criteria of at least one positive solution to the three-point boundary value problems with coupled system of Riemann-Liouville type nonlinear fractional order differential equations.
Md. Asaduzzaman, Md. Zulfikar Ali
doaj   +1 more source

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