Results 31 to 40 of about 769,045 (151)

On the linear fuzzy model associated with Caputo–Fabrizio operator

open access: yesBoundary Value Problems, 2018
In this paper, we introduce the fuzzy Caputo–Fabrizio operator under generalized Hukuhara differentiability concept. In this setting, we study the linear fuzzy fractional initial value problems and present the general form of their solutions.
R. Abdollahi   +3 more
doaj   +1 more source

On solution of fuzzy Volterra integro-differential equations

open access: yesArab Journal of Basic and Applied Sciences, 2021
In this article, the Volterra integro-differential equation of separable type kernels is considered under the fuzzy concept. A hybrid technique is used to solve fuzzy integro-differential equations under the notion of generalized Hukuhara ...
Zia Ullah   +3 more
doaj   +1 more source

On Fuzzy Improper Integral and Its Application for Fuzzy Partial Differential Equations

open access: yesInternational Journal of Differential Equations, 2016
We establish some important results about improper fuzzy Riemann integrals; we prove some properties of fuzzy Laplace transforms, which we apply for solving some fuzzy linear partial differential equations of first order, under generalized Hukuhara ...
ElHassan ElJaoui, Said Melliani
doaj   +1 more source

An Extension of the Carathéodory Differentiability to Set-Valued Maps

open access: yes, 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   +3 more
core   +1 more source

Higher-order fuzzy fractional differential equations: on the existence, uniqueness and Hyers–Ulam–Rassias stability of solutions [PDF]

open access: yesJournal of Fuzzy Extension and Applications
In this work, we investigate the existence, uniqueness, and different stability types, focusing on Ulam-Hyers stability, of a solution to a nonlinear fuzzy fractional differential equation with Caputo generalized Hukuhara differentiability of order ...
Brahim Ghrissi   +2 more
doaj   +1 more source

Novel Numerical Investigations of Fuzzy Cauchy Reaction–Diffusion Models via Generalized Fuzzy Fractional Derivative Operators

open access: yesFractal and Fractional, 2021
The present research correlates with a fuzzy hybrid approach merged with a homotopy perturbation transform method known as the fuzzy Shehu homotopy perturbation transform method (SHPTM).
Manar A. Alqudah   +5 more
doaj   +1 more source

Generalized Hukuhara conformable fractional derivative and its application to fuzzy fractional partial differential equations

open access: yesSoft Computing - A Fusion of Foundations, Methodologies and Applications, 2021
The main focus of this paper is to develop an efficient analytical method to obtain the traveling wave fuzzy solution for the fuzzy generalized Hukuhara conformable fractional equations by considering the type of generalized Hukuhara conformable ...
M. Ghaffari   +3 more
semanticscholar   +1 more source

Novel Evaluation of Fuzzy Fractional Cauchy Reaction-Diffusion Equation

open access: yesJournal of Function Spaces, 2022
The present research correlates with a fuzzy hybrid approach merged with a new iterative transform method known as the fuzzy new iterative transform method. With the help of Atangana-Baleanu under generalized Hukuhara differentiability, we show that this
Nehad Ali Shah   +3 more
doaj   +1 more source

A new concept of differentiability for interval-valued functions [PDF]

open access: yesSurveys in Mathematics and its Applications, 2019
In this paper we propose a new concept of differentiability for interval-valued functions. This concept is based on the properties of the Hausdorff-Pompeiu metric and avoids using the generalized Hukuhara difference.
Vasile Lupulescu, Donal O'Regan
doaj  

On the Lp-differentiability of certain classes of functions [PDF]

open access: yes, 2014
We prove the $L^p$-differentiability at almost every point for convolution products on $R^d$ of the form $K*\mu$, where $\mu$ is bounded measure and $K$ is a homogeneous kernel of degree $1-d$.
Crippa, Gianluca   +7 more
core   +1 more source

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