Results 11 to 20 of about 769,045 (151)

Generalized Nabla Differentiability and Integrability for Fuzzy Functions on Time Scales

Axioms, 2020
This paper mainly deals with introducing and studying the properties of generalized nabla differentiability for fuzzy functions on time scales via Hukuhara difference.
R. Leelavathi, G. Suresh Kumar, Ravi P. Agarwal, Chao Wang, M.S.N. Murty   +4 more
doaj   +2 more sources

Generalized Euler-Lagrange Equations for Fuzzy Fractional Variational Problems under gH-Atangana-Baleanu Differentiability [PDF]

Journal of Function Spaces, 2018
We study in this paper the Atangana-Baleanu fractional derivative of fuzzy functions based on the generalized Hukuhara difference. Under the condition of gH-Atangana-Baleanu fractional differentiability, we prove the generalized necessary and sufficient ...
Jianke Zhang, Gaofeng Wang, Xiaobin Zhi, Chang Zhou   +3 more
doaj   +2 more sources

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

Journal of Applied Mathematics
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 ...
Yanli Xi, Wenbin Bao
doaj   +2 more sources

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
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.
Muhammad Bilal, Uzma Ahmad, Ghulam Muhammad, Hamed Alsulami   +3 more
doaj   +2 more sources

Essential Criteria for Proportional Fractional Generalized Hukuhara Differentiability for Goursat Problems with Application in MHD Couple Stress Fluid Flowing Through a Channel Embedded in a Porous Medium

Fractals
A novel category of fractional derivatives with an exponential kernel, the generalized proportional fractional (G-P-F) derivative has several uses in practical issues.
S. Rashid, Nida Fatima, Tehreem Fatima, Yuhong Chu   +3 more
semanticscholar   +2 more sources

Ulam-Hyers Stability of Caputo-Katugampola Generalized Hukuhara Type Partial Differential Symmetry Coupled Systems

Symmetry
The purpose of this paper is to investigate a class of novel symmetric coupled fuzzy fractional partial differential equation system involving the Caputo–Katugampola (C-K) generalized Hukuhara (gH) derivative.
Lin-Cheng Jiang, Heng-you Lan, Yi-Xin Yang   +2 more
semanticscholar   +2 more sources

Fuzzy Fractional Differential Equation Involving the Fuzzy Conformable Derivative and the α - Semigroups. [PDF]

ScientificWorldJournal
In this work, we discuss solutions to the abstract Cauchy problem of fuzzy conformal fractional. In addition, the method of fuzzy fractional semigroups is used to obtain analytical solutions to the fractional differential equation. We use the concept of Krasnoselskii’s fixed point theorem to determine the existence and uniqueness of the solution.
Ibrahim Abdou Amir F, El Ghazouani A, El Omari M, Melliani S.   +3 more
europepmc   +2 more sources

Numerical Simulation of Fuzzy Volterra Integro-differential ‎Equation using Improved Runge-Kutta Method [PDF]

Journal of Applied and Computational Mechanics, 2023
In this research, fourth-order Improved Runge-Kutta method with three stages for solving fuzzy Volterra integro-differential (FVID) equations of the second kind under the concept of generalized Hukuhara differentiability is proposed. The advantage of the
Faranak Rabiei, Fatin Abd Hamid, Mohammad Mehdi Rashidi, Zeeshan Ali, Kamal Shah, Kamyar Hosseini, Touraj‎ Khodadadi   +6 more
doaj   +1 more source

Generalized Hukuhara directional differentiability of interval-valued functions on Riemannian manifolds [PDF]

Optimization, 2022
In this paper, we show that generalized Hukuhara directional differentiability of an Interval-Valued Function (IVF) defined on Riemannian manifolds is not equivalent to the directional differentiability of its centre and half-width functions and hence ...
H. A. Bhat, Akhlad Iqbal
semanticscholar   +1 more source

Generalized Hukuhara directional differentiability of interval-valued functions on Riemannian manifolds [PDF]

, 2023
In this paper, we show that generalized Hukuhara directional differentiability of an interval-valued function (IVF) defined on Riemannian manifolds is not equivalent to the directional differentiability of its center and half-width functions and hence ...
Iqbal, Akhlad, Bhat, Hilal Ahmad
core   +1 more source