A5095763963- Mathematical Inequalities and Applications
- Fractional Differential Equations Solutions
- Nonlinear Differential Equations Analysis
- Functional Equations Stability Results
- Iterative Methods for Nonlinear Equations
- Mathematical functions and polynomials
- Approximation Theory and Sequence Spaces
Central South University
2024-2025
International Journal of Geometric Methods in Modern PhysicsAccepted Papers No AccessAdvancements Hermite–Hadamard Inequalities via Conformable Fractional Integrals for Subadditive FunctionsWali Haider, Huseyin Budak, Asia Shehzadi, Fatih Hezenci, and Haibo ChenWali Budak Search more papers by this author , Shehzadi Hezenci Chenhttps://orcid.org/0000-0002-9868-7079 https://doi.org/10.1142/S0219887825500999Cited by:0 (Source: Crossref) PreviousNext AboutFiguresReferencesRelatedDetailsPDF/EPUB...
This paper develops integral inequalities for first-order differentiable convex functions within the framework of fractional calculus, extending Boole-type to this domain. An equality involving Riemann–Liouville integrals is established, forming foundation deriving novel tailored functions. The proposed encompasses a wide range functional classes, including Lipschitzian functions, bounded and variation, thereby broadening applicability these diverse mathematical settings. research emphasizes...
The advancement of fractional calculus, particularly through the Caputo derivative, has enabled more accurate modeling processes with memory and hereditary effects, driving significant interest in this field. Fractional calculus also extends concept classical derivatives integrals to noninteger (fractional) orders. This generalization allows for flexible complex phenomena that cannot be adequately described using integer-order derivatives. Motivated by its applications various scientific...
Abstract In the framework of tempered fractional integrals, we obtain a fundamental identity for differentiable convex functions. By employing this identity, derive several modifications Milne inequalities, providing novel extensions to domain integrals. The research comprehensively examines significant functional classes, including functions, bounded Lipschitzian and functions variation.
In this research, our objective is to formulate a unique identity for Milne-type inequalities involving functions of two variables having convexity on co-ordinates over [?, ?] ? ?]. By employing identity, we establish some new the co-ordinated convex functions. Furthermore, propose strengthens theoretical basis mathematical showcasing its significance in various fields.