Results 111 to 120 of about 19,938 (283)

BOUNDEDNESS OF RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL OPERATOR IN MORREY SPACES

Eurasian Mathematical Journal, 2021
The aim of the present paper is to prove the boundedness of the multidimensional Riemann-Liouville operator from the quasi-normed Morrey space (Formula presented) to another quasi-normed Morrey space (Formula presented) and to estimate the dependence of the norm of this operator on Ω. © 2021. All Rights Reserved.
openaire   +2 more sources

Refinements of the Jensen Inequality and Estimates of the Jensen Gap Based on Interval‐Valued Functions

Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12567-12576, August 2025.
ABSTRACT The significance of the Jensen inequality stems from its impactful and compelling outcomes. As a generalization of classical convexity, it plays a key role in deriving other well‐known inequalities such as Hermite–Hadamard, Hölder, Minkowski, arithmetic‐geometric, and Young's inequalities.
İzzettin Demir
wiley   +1 more source

Analysis of Fractal Dimension of Mixed Riemann-Liouville Fractional Integral

, 2021
In this article, we investigate the fractal dimension of the graph of the mixed Riemann-Liouville fractional integral for various choice of continuous functions on a rectangular region. We estimate bounds for the box dimension and the Hausdorff dimension of the graph of the mixed Riemann-Liouville fractional integral of the functions which belong to ...
Chandra, Subhash, Abbas, Syed
openaire   +2 more sources

Individuals Strategies and Predator–Prey Game Models in Deterministic and Random Settings

Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12587-12607, August 2025.
ABSTRACT The authors propose a new predator–prey game model by integrating two optional strategies into prey species: cooperative and isolation strategies. An investigation of the evolutionary impact on predator–prey system dynamics is given. The model utilizes a replicator equation to track changes in the frequency of cooperative strategy among preys,
Hairui Yuan, Xinzhu Meng, Federico Frascoli, Tonghua Zhang   +3 more
wiley   +1 more source

The Essential Gronwall Inequality Demands the $\left(\rho,\varphi \right) -$Fractional Operator with Applications in Economic Studies

Universal Journal of Mathematics and Applications
Gronwall's inequalities are important in the study of differential equations and integral inequalities. Gronwall inequalities are a valuable mathematical technique with several applications.
Rabha Ibrahim, Zoubir Dahmani, Mohamed Bezzıou   +2 more
doaj   +1 more source

Regularity of the SLE4 uniformizing map and the SLE8 trace

Proceedings of the London Mathematical Society, Volume 131, Issue 2, August 2025.
Abstract We show that the modulus of continuity of the SLE4${\rm SLE}_4$ uniformizing map is given by (logδ−1)−1/3+o(1)$(\log \delta ^{-1})^{-1/3+o(1)}$ as δ→0$\delta \rightarrow 0$. As a consequence of our analysis, we show that the Jones–Smirnov conditions for conformal removability (with quasihyperbolic geodesics) do not hold for SLE4${\rm SLE}_4 ...
Konstantinos Kavvadias, Jason Miller, Lukas Schoug   +2 more
wiley   +1 more source

Nonlinear fractional Caputo-Langevin equation with nonlocal Riemann-Liouville fractional integral conditions

, 2014
In this paper, we study the existence and uniqueness of solution for a problem consisting of a sequential nonlinear fractional Caputo-Langevin equation with nonlocal Riemann-Liouville fractional integral conditions.
W. Yukunthorn, S. Ntouyas, J. Tariboon
semanticscholar   +1 more source

The Variable-Order Fractional Calculus of Variations

, 2018
This book intends to deepen the study of the fractional calculus, giving special emphasis to variable-order operators. It is organized in two parts, as follows. In the first part, we review the basic concepts of fractional calculus (Chapter 1) and of the
Almeida, Ricardo, Tavares, Dina, Torres, Delfim F. M.   +2 more
core   +1 more source

On the Fractional Inequalities of the Milne Type

Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 10833-10840, 30 July 2025.
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, Hasan Kara, Hasan Öğünmez   +2 more
wiley   +1 more source

Hermite-Hadamard type inequalities, convex stochastic processes and Katugampola fractional integral

Revista Integración, 2018
In this work we present some Hermite-Hadamard type inequalities for convex Stochastic Processes using the Katugampola fractional integral, and from these results specific cases are deduced for the Riemann-Liouville fractional integral and Riemann ...
Jorge E. Hernández H., Juan Francisco Gómez   +1 more
doaj