Results 41 to 50 of about 320,166 (174)

Exact Solution for Fuzzy‐Informed Nonlinear Bi‐Hamiltonian Camassa–Holm Model for Shallow‐Water Waves

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
In this paper, the analytical properties of the fuzzy Camassa–Holm equation (FCHE) with a sophisticated model are investigated and used to describe nonlinear wave phenomena under fuzzy conditions. The fuzzy set theory is employed to incorporate uncertainty into physical parameters in shallow water dynamics.
Hamzeh Zureigat, Belal Batiha, Qiang Lai
wiley   +1 more source

Novel Evaluation of Fuzzy Fractional Helmholtz Equations

Journal of Function Spaces, 2022
The current article discusses the fuzzy new iterative transform approach, which is a combination of a fuzzy hybrid methodology and an iterative transformation technique. We establish the consistence of our strategy by obtaining fractional fuzzy Helmholtz
Meshari Alesemi, Naveed Iqbal, Noorolhuda Wyal   +2 more
doaj   +1 more source

A Solution of an Intuitionistic Fuzzy Time‐Fractional Diffusion Equation Using a Modified Explicit Finite Difference Scheme

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
The utilization of fuzzy fractional partial differential equations has turned into a practical tool for modeling real‐life phenomena because they offer a compact framework for modeling complex phenomena with uncertainty, providing insights and reflecting on systems that classical models cannot adequately get.
Hamzeh Zureigat, Khaled Matarneh, Areen Al-khateeb, Sameer Bawaneh, Theodore Simos   +4 more
wiley   +1 more source

Parameter Estimations of Fuzzy Forced Duffing Equation: Numerical Performances by the Extended Runge-Kutta Method

Abstract and Applied Analysis, 2020
In this work, the forced Duffing equation with secondary resonance will be considered our subject by assuming that the initial values has uncertainty in terms of a fuzzy number.
Muhammad Ahsar Karim, Agus Yodi Gunawan
doaj   +1 more source

Bipolar Fuzzy Solution of the Bipolar Fuzzy Wave Equation Using Bipolar Fuzzy Fourier Sine Transform Under GH‐Differentiability

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
The bipolar fuzzy wave equation is crucial for modeling wave phenomena in systems characterized by dual uncertainty involving both positive and negative aspects of imprecise information. This study presents an innovative analytical framework for solving bipolar fuzzy wave equations using bipolar fuzzy Fourier sine transform under generalized Hukuhara ...
Muhammad Bilal, Uzma Ahmad, Ghulam Muhammad, Hamed Alsulami, Shikha Binwal   +4 more
wiley   +1 more source

Existence, Uniqueness, and E_q–Ulam-Type Stability of Fuzzy Fractional Differential Equation

Fractal and Fractional, 2021
This paper concerns with the existence and uniqueness of the Cauchy problem for a system of fuzzy fractional differential equation with Caputo derivative of order q∈(1,2], 0cD0+qu(t)=λu(t)⊕f(t,u(t))⊕B(t)C(t),t∈[0,T] with initial conditions u(0)=u0,u′(0 ...
Azmat Ullah Khan Niazi, Jiawei He, Ramsha Shafqat, Bilal Ahmed   +3 more
doaj   +1 more source

On the solutions for box differential equations under generalized Hukuhara derivative [PDF]

Advances in Difference Equations, 2014
في هذه الورقة، يتم النظر في المعادلات التفاضلية للمربع تحت مشتقات هوكوهارا المعممة. ندرس نتائج وجود وتفرد معادلات BOX المتكاملة التي تستخدم طريقة الحلول العلوية والسفلية. علاوة على ذلك، يتم اتباع النهج لإثبات وجود حلول لمشكلة القيمة الأولية للمعادلات التفاضلية الصندوقية. يتم توضيح الطريقة من خلال بعض الأمثلة.
openaire   +2 more sources

A unified generalization for Hukuhara types differences and derivatives: Solid analysis and comparisons

AIMS Mathematics, 2022
<abstract><p>Uncertain numbers, in a parallel definition of fuzzy numbers, are introduced. Model uncertainty and measurement uncertainty are our motivations for this study. A class of scalar multiplication and differences is proposed. Related algebra is investigated.
openaire   +2 more sources

Existence and Uniqueness of Solutions to Initial Value Problems of High‐Order Fractional Fuzzy Differential Equations

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
High‐order fractional fuzzy differential equations show great potential in modeling complex systems with memory effects and uncertainty. Existing qualitative theories seldom involve both Caputo‐type strongly generalized Hukuhara differentiability and coupled integral operators on infinite intervals. This paper presents a systematic investigation of the
Yanli Xi, Wenbin Bao, Mohammad Rezwan Habib   +2 more
wiley   +1 more source

Fractional variational problems with the Riesz-Caputo derivative [PDF]

, 2012
In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the ...
Almeida, R., Almeida, Ricardo, Ricardo Almeida   +2 more
core   +1 more source