Results 231 to 240 of about 11,947 (275)

Fuzzy fractional functional integral and differential equations

Fuzzy Sets and Systems, 2015
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Fuzzy fractional functional differential equations under Caputo gH-differentiability

Communications in Nonlinear Science and Numerical Simulation, 2015
The basic notations of the Riemann-Liouville fractional integral and the Caputo fractional derivative for fuzzy functions are presented. Existence and uniqueness of solutions for some classes of fuzzy fractional functional differential equations under the Caputo generalized Hukuhara differentiability are proved.
Ngo Van Hoa
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Concreted solutions to fuzzy linear fractional differential equations

Applied Soft Computing, 2016
HighlightsFuzzy linear fractional differential equations in form D 0 + α y ( x ) = λ ? y ( x ) + f ( x ) , under Riemann-Liouville H-differentiability are studied.Some of the previous results on solutions of these equations are concreted.New solutions are obtained using the fractional hyperbolic functions and their properties.An application and two ...
M. Chehlabi, T. Allahviranloo
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Neutral fuzzy fractional functional differential equations

Fuzzy Sets and Systems, 2021
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Phu, Nguyen Dinh, Lupulescu, Vasile, Hoa, Ngo Van   +2 more
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Solving fuzzy fractional q-differential equations via fuzzy q-differential transform

Journal of Intelligent & Fuzzy Systems, 2023
This paper proposes a method for solving fuzzy linear and nonlinear partial q-differential equations by the fuzzy q-differential transform. Further, we implemented the fuzzy fractional q-differential transform for solving some types of fuzzy fractional q-differential equations.
Osman, Mawia, Xia, Yonghui
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Fuzzy transform for fractional fuzzy differential equations

2022
In this research, we apply a very powerful and relatively simple technique called Fuzzy ( F) transform to solve fractional fuzzy problem with respect to fuzzy valued functions. This approach allows to transform a fractional fuzzy differential equations to the system of algebraic equations.
Thi Minh Tam Pham, Irina Perfilieva
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Fuzzy fractional differential equations with interactive derivative

Fuzzy Sets and Systems, 2023
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Francielle Santo Pedro, Michele Martins Lopes, Vinícius Francisco Wasques, Estevão Esmi, Laécio Carvalho de Barros   +4 more
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Fuzzy fractional differential equations under generalized fuzzy Caputo derivative

Journal of Intelligent & Fuzzy Systems, 2014
In this paper the fuzzy Caputo fractional differential equation (FCFDE) under the Generalized Hukuhara differentiability is introduced. Also the existence and uniqueness of the solution for a class of fuzzy Caputo fractional differential equation with initial value is studied, and an analytical solution of FCFDE is obtained.
Allahviranloo, T., Armand, A., Gouyandeh, Z.   +2 more
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Fuzzy Fractional Differential Equations

2020
Different materials and processes in many applied sciences like electrical circuits, biology, biomechanics, electrochemistry, electromagnetic processes and, others are widely recognized to be well predicted by using fractional differential operators in accordance with their memory and hereditary properties.
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Applications of Fuzzy Fractional Differential Equations

2020
In general, fractional calculus deals with the generalization of differentiation and integration of non-integer orders. In recent years, fractional calculus has played a significant role in several sciences such as physics, chemistry, biology, electronics, and control theory.
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