Results 11 to 20 of about 9,880 (171)

Existence of Hukuhara Differentiability of Fuzzy-Valued Functions [PDF]

Journal of the Indian Mathematical Society, 2017
In this paper, we discuss existence of Hukuhara differentiability of fuzzy-valued functions. Several examples are worked out to check that fuzzy-valued functions are one time, two times and n-times H-differentiable. We study the effects of fuzzy modelling on existence of Hukuhara differentiability of fuzzy-valued functions.
Pirzada, U. M., Vakaskar, D. C.
openaire   +3 more sources

An Extension of the Carathéodory Differentiability to Set-Valued Maps

Abstract and Applied Analysis, 2021
This paper uses the generalization of the Hukuhara difference for compact convex set to extend the classical notions of Carathéodory differentiability to multifunctions (set-valued maps). Using the Hukuhara difference and affine multifunctions as a local
Pedro Hurtado, Alexander Leones, M. Martelo, J. B. Moreno   +3 more
doaj   +2 more sources

Generalized Hukuhara derivative approach for Gompertz tumor growth with allee effect under fuzzy environment [PDF]

Journal of Fuzzy Extension and Applications, 2023
In this present study, the tumor growth model using the Gompertz equation with the Allee effect is developed under a fuzzy environment using the Generalized Hukuhara Derivative  (GHD) approach.
Rubeena Khaliq, Pervaiz Iqbal, Shahid Bhat, Ram Singh, Shilpi Jain, Praveen Agarwal   +5 more
doaj   +3 more sources

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

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

Journal of Mahani Mathematical Research
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.
Pegah Moatamed, Mahnaz Barkhordari Ahmadi   +1 more
doaj   +3 more sources

Application of Generalized Hukuhara derivative approach in an economic production quantity model with partial trade credit policy under fuzzy environment [PDF]

Operations Research Perspectives, 2016
In this present study, a production inventory model with partial trade credit is formulated and solved in fuzzy environment via Generalized Hukuhara derivative approach. To capture the market, a supplier offers a trade credit period to its retailers. Due
Pinki Majumder, Sankar Prasad Mondal, Uttam Kumar Bera, Manoranjan Maiti   +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

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

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