Results 71 to 80 of about 320,166 (174)

Exploring Advanced Versions of Hermite‐Hadamard and Trapezoid‐Type Inequalities by Implementation of Fuzzy Interval‐Valued Functions

Journal of Function Spaces, Volume 2024, Issue 1, 2024.
The extension of interval‐valued and real‐valued functions known as fuzzy interval‐valued function (FIVF) has made substantial contributions to the theory of interval analysis. In this article, we explore the importance of h‐Godunova‐Levin fuzzy convex and preinvex functions and also develop the new generation of the Hermite‐Hadamard and trapezoid‐type
Yaqun Niu, Rana Safdar Ali, Naila Talib, Shahid Mubeen, Gauhar Rahman, Çetin Yildiz, Fuad A. Awwad, Emad A. A. Ismail, Wilfredo Urbina   +8 more
wiley   +1 more source

Averaging of the equation with Hukuhara derivative, setvalue control and delay

, 2007
В статье приводится обоснование метода усреднения для управляемых линейных дифференци­альных уравнений с запаздыванием с производной Хукухары.У статті наводиться обґрун­тування методу усереднення для керованих лінійних диференціальних рівнянь із запіз ...
Кичмаренко, Ольга Дмитриевна, Plotnikov, Viktor O., Плотніков, Віктор Олександрович, Кічмаренко, Ольга Дмитрівна, Плотников, Виктор Александрович, Kichmarenko, Olha D.   +5 more
core   +1 more source

Some properties of solutions of a linear set-valued differential equation with conformable fractional derivative

Cubo
The article explores a linear set-valued differential equation featuring both conformable fractional and generalized conformable fractional derivatives.
Tatyana A. Komleva, Andrej V. Plotnikov, Natalia V. Skripnik   +2 more
doaj   +1 more source

The Investigation of Some Essential Concepts of Extended Fuzzy‐Valued Convex Functions and Their Applications

Advances in Fuzzy Systems, Volume 2024, Issue 1, 2024.
In this paper, we are thus motivated to define and introduce the extended fuzzy‐valued convex functions that can take the singleton fuzzy values −∞˜ and +∞˜ at some points. Such functions can be characterized using the notions of effective domain and epigraph.
T. Allahviranloo, M. R. Balooch Shahryari, O. Sedaghatfar, M. R. Shahriari, R. Saadati, S. Noeiaghdam, U. Fernandez-Gamiz, Ramin Ranjbarzadeh   +7 more
wiley   +1 more source

Usage of the Fuzzy Adomian Decomposition Method for Solving Some Fuzzy Fractional Partial Differential Equations

Advances in Fuzzy Systems, Volume 2024, Issue 1, 2024.
In this study, we examine the numerical solutions of nonlinear fuzzy fractional partial differential equations under the Caputo derivative utilizing the technique of fuzzy Adomian decomposition. This technique is used as an alternative method for obtaining approximate fuzzy solutions to various types of fractional differential equations and also ...
Nagwa A. Saeed, Deepak B. Pachpatte, A. Ghareeb   +2 more
wiley   +1 more source

Some New Variants of Hermite–Hadamard and Fejér‐Type Inequalities for Godunova–Levin Preinvex Class of Interval‐Valued Functions

Journal of Mathematics, Volume 2024, Issue 1, 2024.
The theory of inequalities is greatly influenced by interval‐valued concepts, and this contribution is explored from several perspectives and domains. The aim of this note is to develop several mathematical inequalities such as Hermite–Hadamard, Fejér, and the product version based on center radius CR‐order relations.
Zareen A. Khan, Waqar Afzal, Waqas Nazeer, Joshua Kiddy K. Asamoah, B. B. Upadhyay   +4 more
wiley   +1 more source

Averaging of impulsive differential inclusions with the Hukuhara derivative

, 2007
Наведено обґрунтування методу повного i часткового усереднення для диференцiальних включень iз похiдною Хукухари, що зазнають iмпульсного впливу в фiксованi моменти часу.We give a substantiation for the method of complete or partial averaging for ...
Скрипник, Н.В.
core  

Fuzzy differential equations with interactive derivative

, 2017
CNPQ - CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICOIn this paper we introduce and study new concept of differentiability for fuzzy-set-valued functions.
Barros, Laécio Carvalho de, Pedro, Francielle Santo   +1 more
core   +1 more source

L-Fuzzy fixed point results in ℱ -metric spaces with applications

Demonstratio Mathematica
Jleli and Samet in [On a new generalization of metric spaces, J. Fixed Point Theory Appl. 20 (2018), 128 (20 pages)] introduced the notion of ℱ -metric space as a generalization of traditional metric space and proved Banach contraction principle in the ...
Lateef Durdana
doaj   +1 more source

Fuzzy differential equations: an approach via fuzzification of the derivative operator

, 2015
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)In this paper we study fuzzy differential equations (FDEs) in terms of derivative for fuzzy functions, in a different way from the traditional Hukuhara derivative defined for set valued ...
Barros, Laécio C., Tonelli, Pedro A., Gomes, Luciana T.   +2 more
core   +1 more source