Results 61 to 70 of about 1,624,870 (150)

New variants of fuzzy optimal control problems

Asian Journal of Control, Volume 28, Issue 1, Page 116-123, January 2026.
Abstract This study introduces a groundbreaking approach to optimal control problems by incorporating fuzzy conformable derivatives. Our primary goal is to identify the optimal control strategy that maximizes fuzzy performance indices while adhering to fuzzy conformable dynamical systems.
Awais Younus, Iram Ghaffar, Thabet Abdeljawad, Meriem Louafi   +3 more
wiley   +1 more source

Interval‐valued Caputo–Fabrizio fractional derivative in continuous programming

Asian Journal of Control, Volume 28, Issue 1, Page 497-514, January 2026.
Abstract This study investigates a novel class of variational programming problems characterized by fractional interval values, formulated under the Caputo–Fabrizio fractional derivative with an exponential kernel. Invex and generalized invex functions are used to discuss the Mond–Weir‐type dual problem for the considered variational problem.
Krishna Kummari, Vivekananda Rayanki, Izhar Ahmad   +2 more
wiley   +1 more source

Fuzzy approximation theorems via statistical deferred Nörlund Riemann integrability

Filomat
This study introduces and investigates the concepts of deferred N?rlund statistical Riemann integrability and statistical deferred N?rlund Riemann summability for sequences of fuzzy number-valued functions. It begins by establishing an inclusion result that clarifies the relationship between these newly proposed notions ...
Suresh Mahapatra, Bidu Jena, Susanta Paikray, M. Mursaleen   +3 more
openaire   +1 more source

Fractional Dynamics of Nonlinear Liquid Dispersion Pattern Drops: A Robust Analytical Study of Modulation Instability and Compacton Structures

Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.
Nonlinear dispersion phenomena in liquid media often lead to the formation of localized structures such as compact wave packets and dispersion drops. The present investigation demonstrates that the proposed analytical framework yields accurate approximate solutions, successfully captures compacton‐like structures, and clearly reveals the critical ...
Yogeshwari F. Patel, Mohammad Izadi, Hany M. Ahmed, Rajesh Kumar   +3 more
wiley   +1 more source

An Analytical Approach to Solving Fractional Diffusion and Korteweg–de Vries Equations Using the Laplace Homotopy Perturbation Method

Complexity, Volume 2026, Issue 1, 2026.
In this study, we introduce the Laplace homotopy perturbation method (LHPM), based on Caputo fractional derivatives (CFDs), and demonstrate its application to approximate solutions of the fractional diffusion equation and the Korteweg–de Vries fractional‐order equation.
Imad Khan, Fatemah Mofarreh, Gulagha Jan Assar, Nisar Gul, Ahmad Shafee, Roman Ullah, Dan Selişteanu   +6 more
wiley   +1 more source

Intuitionistic Fuzzy Riemann-Liouville and Hadamard Fractional ⊗Integrals

Earthline Journal of Mathematical Sciences
In this study, we introduce intuitionistic fuzzy Riemann-Liouville and Hadamard fractional ⊗integrals of intuitionistic fuzzy valued functions and obtain some of their basic properties. We also give some examples to illustrate the obtained results.
openaire   +1 more source

Fixed point theorems for rational and trigonometric mappings in fuzzy metric spaces via fuzzy Hermite-Hadamard inequalities

Journal of Inequalities and Applications
This paper presents a unified framework for fixed point theory in complete fuzzy metric spaces by synthesizing fuzzy Hermite-Hadamard inequalities with various contraction types, including rational contractions. We introduce innovative fuzzy transforms M
Shamoona Jabeen, Irfan Ullah, Abdelhamid Moussaoui   +2 more
doaj   +1 more source

Adaptive Fractional-Order Fuzzy Sliding Mode Control for Grid-Connected PV Flyback Inverters Under Dynamic Uncertainties

Fractal and Fractional
This paper proposes an adaptive fractional-order fuzzy sliding mode control strategy for grid-connected photovoltaic current-source flyback inverters.
Necdet Sinan Özbek, Özgür Çelik
doaj   +1 more source

A Fractional‐Order Complexity Framework for Misinformation Propagation With Fact‐Checking Saturation and Social Vulnerability Dynamics

Complexity, Volume 2026, Issue 1, 2026.
Misinformation spreads through communities in ways that resemble infectious diseases, but existing mathematical models often miss three real‐world complexities: People remember past information (memory effects), some folks are more easily fooled than others (vulnerability), and fact‐checkers can get overwhelmed during big outbreaks (saturation).
Shewafera Wondimagegnhu Teklu, M. A. Abdelkawy, Waleed Adel, Pramita Mishra   +3 more
wiley   +1 more source

FUZZY OSTROWSKI TYPE INEQUALITIES FOR (α,m)-CONVEX FUNCTIONS

Journal of New Theory, 2015
− Let f : I → R, where I ⊆ R is an interval, be a mapping differentiable in the interiorI◦of I, and let a, b ∈ I◦with a < b. If |f0(x)| ≤ M for all x ∈ [a, b], then the following inequalityholds:¯ ¯ ¯f (x) −¯ ¯ b − a Z b a f (t)dt¯≤ M (b − a)¯ ¯ ¯ ¯ "
Erhan Set, Serkan Karataş, İlker Mumcu
doaj