General Letters in Mathematics

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Fuzzy α−semigroups of operators

A. El Allaoui , S. Melliani , L. S. Chadli

In this paper, we generalize the definition of a fuzzy strongly continuous semigroup and its generator. We define a conformable fractional fuzzy semigroups of operators and its generator. We establish some of their properties and some results about this concept.

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Numerical Solution for Solving Fractional Differential Equations using Shifted Chebyshev Wavelet

Mohamed Elarabi Benattia , Belghaba Kacem

In this paper, we are interested to develop a numerical method based on the Chebyshev wavelets for solving fractional order differential equations (FDEs). As a result of the presentation of Chebyshev wavelets, we highlight the operational matrix of the fractional order derivative through wavelet-polynomial ...

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Bernoulli Operational Matrix of Fractional Derivative for Solution of Fractional Differential Equations

Rachid Belgacem , Ahmed Bokhari , Abdessamad Amir

The aim of this paper is to present a numerical method based on Bernoulli polynomials for numerical solutions of fractional differential equations(FDEs). The Bernoulli operational matrix of fractional derivatives[31] is derived and used together with tau and collocation methods to reduce the FDEs to a ...

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