Results 21 to 30 of about 320,166 (174)
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 +4 more
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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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Fuzzy solution of nonlinear Boussinesq equation
Journal of Hydroinformatics, 2022 In this paper, the solution of the one-dimensional second-order unsteady nonlinear fuzzy partial differential Boussinesq equation is examined. The physical problem concerns unsteady flow in a semi-infinite unconfined aquifer bordering a lake.
Christos Tzimopoulos +4 more
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Common α-Fuzzy Fixed Point Results for F-Contractions with Applications
Mathematics, 2021 F-contractions have inspired a branch of metric fixed point theory committed to the generalization of the classical Banach contraction principle. The study of these contractions and α-fuzzy mappings in b-metric spaces was attempted timidly and was not ...
Jamshaid Ahmad +2 more
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GENERAL SOLUTION OF BASSET EQUATION WITH CAPUTO GENERALIZED HUKUHARA DERIVATIVE
Journal of Applied Analysis & Computation, 2016 Summary: In this paper, the fuzzy Basset equation is introduced. This problem is related to the motion of a sphere in a viscous liquid when its parameters are fuzzy numbers. We investigate the existence and uniqueness of solution with converting the problem to a system of fuzzy fractional differential equation, and the solution is also obtained under ...
Armand, A. +2 more
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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 +3 more
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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 +4 more
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Integro-differential inclusions with the Hukuhara derivative [PDF]
, 2005 Для iнтегро-диференцiального включення з похiдною Хукухари введено поняття квазiрозв’язку i наведено умови, за яких множина квазiрозв’язкiв збiгається з множиною звичайних розв’язкiв, а також доведено теореми про релаксацiю звичайних розв’язкiв i ...
Плотников, А.В. +1 more
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Existence-uniqueness of solutions for fuzzy nabla initial value problems on time scales
Advances in Difference Equations, 2019 This paper is devoted to studying the existence and uniqueness of solutions of fuzzy nabla dynamic equations on time scales under Hukuhara differentiability. We apply the Banach contraction mapping principle to establish existence and uniqueness solution
R. Leelavathi +3 more
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