Results 71 to 80 of about 769,045 (151)

Numerical Solutions of Fuzzy Linear Fractional Differential Equations With Laplace Transforms Under Caputo‐Type H‐Differentiability

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this article, we explored the numerical solution of fuzzy linear fractional differential equations (FLFDEs) under Caputo‐type H‐differentiability. To obtain a numerical solution, it is crucial to understand the fuzzy Laplace transform of the Caputo‐type H‐derivative of Da+β Cyx.
Ekhtiar Khodadadi, Mesut Karabacak, Ercan Çelik, Pramita Mishra   +3 more
wiley   +1 more source

Hölder differentiability of self-conformal devil's staircases [PDF]

, 2014
In this paper we consider the probability distribution function of a Gibbs measure supported on a self-conformal set given by an iterated function system (devil's staircase) applied to a compact subset of ℝ. We use thermodynamic multifractal formalism to
Troscheit, S., Sascha Troscheit
core   +1 more source

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

A novel method for solving fuzzy parabolic PDE by using the SG-Hukuhara differentiability [PDF]

In this paper, the method of Crank-Nicolson is proposed for approximating the solution of  a fuzzy parabolic PDE by applying the subject of  SG-Hukuhara differentiability where the initial and boundary conditions are fuzzy numbers.
Mahnaz Barkhordari Ahmadi, Pegah Moatamed   +1 more
core   +2 more sources

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

Caputo gH-differentiability for Gronwalls inequality: insight, new results and application

Journal of Inequalities and Applications
This paper investigates Gronwall’s inequality within the framework of interval-valued functions under Caputo gH-differentiability. Employing interval-valued Caputo fractional derivatives and associated interval-valued Riemann–Liouville integrals, we ...
Fatima Khan, Anum Zehra, Muhammad Farman, Kottakkaran Sooppy Nisar, Aceng Sambas, Mohamed Hafez   +5 more
doaj   +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

Continuity equations and ODE flows with non-smooth velocity [PDF]

, 2014
In this paper we review many aspects of the well-posedness theory for the Cauchy problem for the continuity and transport equations and for the ordinary differential equation (ODE). In this framework, we deal with velocity fields that are not smooth, but
Crippa, Gianluca, Ambrosio, Luigi
core   +1 more source

On global regularity of 2D generalized magnetohydrodynamic equations [PDF]

, 2013
In this article we study the global regularity of 2D generalized magnetohydrodynamic equations (2D GMHD), in which the dissipation terms are –ν(–Δ)αu and –κ(–Δ)βb. We show that smooth solutions are global in the following three cases: α≥1/2, β≥1; 0≤α≤1/2,
Tran, Chuong Van, Zhai, Zhichun, Yu, Xinwei   +2 more
core   +1 more source

Generalized Hukuhara Fractal Differentiability in Fuzzy Modeling

Fractals
This study introduces the concept of generalized Hukuhara fractal differentiability for fuzzy-valued functions and explores the necessary conditions for differentiability.
Vimala Jayakumar, Tamil Vizhi Mariappan, Nasreen Kausar, A. Akgul, B. Vrioni, Ervin Hoxha   +5 more
semanticscholar   +1 more source