Results 61 to 70 of about 1,581 (158)

Fractal Modeling of Generalized Weighted Pre-Invex Functions with Applications to Random Variables and Special Means

Axioms
This article introduces certain algebraic properties of generalized (h˜1,h˜2)-pre-invex functions on Rℵ ...
Muhammad Muddassar, Maria Bibi, Kashif Nazar, Adil Jhangeer   +3 more
doaj   +1 more source

An Extension of Left Radau Type Inequalities to Fractal Spaces and Applications

Axioms
In this study, we introduce a novel local fractional integral identity related to the Gaussian two-point left Radau rule. Based on this identity, we establish some new fractal inequalities for functions whose first-order local fractional derivatives are ...
Bandar Bin-Mohsin, Abdelghani Lakhdari, Nour El Islem Karabadji, Muhammad Uzair Awan, Abdellatif Ben Makhlouf, Badreddine Meftah, Silvestru Sever Dragomir   +6 more
doaj   +1 more source

Hybrid Integral Inequalities on Fractal Set

Axioms
In this study, we introduce a new hybrid identity that effectively combines Newton–Cotes and Gauss quadrature, allowing us to recover well-known formulas such as Simpson’s second rule and the left- and right-Radau two-point rules, among others.
Badreddine Meftah, Wedad Saleh, Muhammad Uzair Awan, Loredana Ciurdariu, Abdelghani Lakhdari   +4 more
doaj   +1 more source

MILNE-TYPE INTEGRAL INEQUALITIES FOR MODIFIED pℎ, 𝑚q-CONVEX FUNCTIONS ON FRACTAL SETS

Проблемы анализа
In the article, new versions of integral inequalities of Milne type are derived for pℎ, 𝑚q-convex modified functions of the second type on fractal sets.
J. E. Napoles, P. M. Guzman, B. Bayraktar   +2 more
doaj   +1 more source

Improved High-Order Difference Scheme for the Conservation of Mass and Energy in the Two-Dimensional Spatial Fractional Schrödinger Equation

Fractal and Fractional
In this paper, our primary objective is to develop a robust and efficient higher-order structure-preserving algorithm for the numerical solution of the two-dimensional nonlinear spatial fractional Schrödinger equation.
Junhong Tian, Hengfei Ding
doaj   +1 more source

Local discontinuous Galerkin method for the integral fractional Laplacian

We develop and analyze a local discontinuous Galerkin (LDG) method for solving integral fractional Laplacian problems on bounded Lipschitz domains. The method is based on a three-field mixed formulation involving the primal variable, its gradient, and the corresponding Riesz potential, yielding a flux-based structure well suited for LDG discretizations
Han, Rubing, Wu, Shuonan, Zhou, Hao
openaire   +2 more sources

Generalized Hermite-Hadamard Type Inequalities Involving Local Fractional Integrals

, 2014
In the paper, two new identities involving the local fractional integrals have been established. Using these two identities, we obtain some generalized Hermite-Hadamard type integral inequalities for the local differentiable generalized convex ...
openaire   +2 more sources

Non-Local Initial-Boundary Value Problem for a Degenerate Second Order Equation with Fractional Caputo Derivative and Riemann-Liouville Integral

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
Recently, initial-boundary problems in a rectangular domain for differential equations in partial derivatives of both even and odd order have been intensively studied. In this case, non-degenerate equations or equations that degenerate on one side of the
Usmonov, D.A., Omonova, A.N.
doaj   +1 more source

Some new fractal Milne-type inequalities for generalized convexity with applications

Boundary Value Problems
Fractals are of immense importance across various branches of mathematics, science, and integral inequalities, as their intricate, self-similar structures can model complex natural phenomena and enhance the precision of mathematical descriptions. In this
Arslan Munir, Hüseyin Budak, Artion Kashuri, Fatih Hezenci   +3 more
doaj   +1 more source

Singularity in nonlinear systems: differential inclusion model for the standard and transformed fractional pantograph equation. [PDF]

Sci Rep
Mobayen S, Ghaderi M, Shabibi M, Parvaneh Masiha H, Rezapour S.   +4 more
europepmc   +1 more source