Results 21 to 30 of about 121 (110)

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.
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On Analytical Solutions of the Fractional Differential Equation with Uncertainty: Application to the Basset Problem

Entropy, 2015
In this paper, we apply the concept of Caputo’s H-differentiability, constructed based on the generalized Hukuhara difference, to solve the fuzzy fractional differential equation (FFDE) with uncertainty. This is in contrast to conventional solutions that
Soheil Salahshour, Ali Ahmadian, Norazak Senu, Dumitru Baleanu, Praveen Agarwal   +4 more
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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.
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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
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SOLUTION TO A SYSTEM OF NON-LINEAR FUZZY DIFFERENTIAL EQUATION WITH GENERALIZED HUKUHARA DERIVATIVE VIA FIXED POINT THEOREM

Advances in the Theory of Nonlinear Analysis and its Application, 2023
In this manuscript, we define a new class of control functions classified as ascendant functions. Consequently, we furnish a fuzzy coupled fixed point result, that is different from one available in the literature, using the notion of simulation function; in follow, we validate the result through a non-trivial example.
Sushma BASİL, Santhi ANTONY
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Application of Contractive-like Mapping Principles to Fuzzy Functional Differential Equation

ITM Web of Conferences, 2018
In this paper, we prove the existence and uniqueness of solution for the fuzzy functional differential equation under generalized Hukuhara derivative via contractive-like mapping principles.
Ho Vu
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Generalized Hukuhara Derivatives of Solving of Second Order Linear Homogeneous ODEs by Generalized Triangular Fuzzy Number Using Fuzzy Laplace Transform

Bayero Journal of Pure and Applied Sciences, 2022
Second order linear homogeneous ordinary differential equations are solved using fuzzy Laplace transform method with generalized Hukuhara differentiability concept. The results obtained is in this study is in the form of generalized triangular fuzzy number. Existence and uniqueness of solution are also obtained.
Tahir, A., Habib, H.
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Generalized Euler-Lagrange Equations for Fuzzy Fractional Variational Problems under gH-Atangana-Baleanu Differentiability

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
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Global existence of solutions for interval-valued second-order differential equations under generalized Hukuhara derivative [PDF]

Advances in Difference Equations, 2013
Dans cet article, nous présentons un concept généralisé de différentiabilité de second ordre pour les fonctions à valeurs d'intervalle. L'existence globale de solutions pour les équations différentielles de second ordre (ISDE) à valeurs d'intervalle sous différentiabilité H généralisée est prouvée.
Ngo Van Hoa, Dinh Phu Nguyen
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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
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