Search Results - "Boubaker, T"
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1
Solving fractional Black–Scholes equation by using Boubaker functions
Published in Mathematical methods in the applied sciences (30-07-2021)“…–Scholes equation based on the Boubaker polynomial functions. The Boubaker operational matrix of the fractional derivative converts the model to obtain the numerical solution of the time‐fractional Black–Scholes equation…”
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2
The Boubaker polynomials and their application to solve fractional optimal control problems
Published in Nonlinear dynamics (01-04-2017)“…In this paper, we focus on Boubaker polynomials in fractional calculus area and obtain the operational matrix of Caputo fractional derivative and the operational matrix of the Riemann…”
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3
Time accurate solution to Benjamin–Bona–Mahony–Burgers equation via Taylor–Boubaker series scheme
Published in Boundary value problems (01-04-2022)“… Then the spectral collocation procedure based on the Boubaker polynomials is applied for the resulting discretized spatial operator in each time step…”
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4
Operational matrix approach based on two-dimensional Boubaker polynomials for solving nonlinear two-dimensional integral equations
Published in Journal of computational and applied mathematics (15-03-2023)“…Two-dimensional First Boubaker polynomials (2D-FBPs) have been formulated and developed as the set of basis for the expansion of bivariate functions…”
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5
Solving fractional pantograph delay differential equations via fractional-order Boubaker polynomials
Published in Engineering with computers (01-10-2019)“…In the current study, we introduce fractional-order Boubaker polynomials related to the Boubaker polynomials to achieve the numerical result for pantograph differential equations of fractional order…”
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6
Fractional-order Boubaker wavelets method for solving fractional Riccati differential equations
Published in Applied numerical mathematics (01-10-2021)“… We first define the fractional-order Boubaker wavelets (FOBW). Using the hypergeometric functions, we determine the exact values for the Riemann-Liouville fractional integral operator of the FOBW…”
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7
An approach to solve fractional optimal control problems via fractional-order Boubaker wavelets
Published in Journal of vibration and control (01-04-2023)“…). The fractional-order Boubaker wavelets (FOBWs) are introduced. By applying hypergeometric functions, an exact formula for Riemann…”
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8
Correction to: forecasting oil commodity spot price in a data-rich environment: Sabri Boubaker
Published in Annals of operations research (2024)Get full text
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ON ORTHOGONALIZATION OF BOUBAKER POLYNOMIALS
Published in Journal of mechanics of continua and mathematical sciences (30-11-2020)“…In this work, we explore some unknown properties of the Boubaker polynomials. The orthogonalization of the Boubaker polynomials has not been discussed in the literature…”
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Fractional-order Boubaker functions and their applications in solving delay fractional optimal control problems
Published in Journal of vibration and control (01-08-2018)“…In this paper, a new set of functions called fractional-order Boubaker functions is defined for solving the delay fractional optimal control problems with a quadratic performance index…”
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11
Kinetic Studies on SNAr Reactions of Substituted Benzofurazan Derivatives: Quantification of the Electrophilic Reactivities and Effect of Amine Nature on Reaction Mechanism
Published in International journal of chemical kinetics (01-12-2017)“…ABSTRACT Kinetics of the nucleophilic aromatic substitution reactions of 7‐L‐4‐nitrobenzofurazans 1 (1a: L = Cl and 1b: L = OCH3) and secondary cyclic amines…”
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12
Boubaker operational matrix method for solving fractional weakly singular two-dimensional partial Volterra integral equation
Published in Journal of applied mathematics & computing (01-10-2024)“…) using numerical methods. In this technique, Boubaker polynomials are used to create operational matrices…”
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13
Properties of Boubaker polynomials and an application to Love’s integral equation
Published in Applied mathematics and computation (01-11-2013)“…The paper deals with three-term recurrence relations for Boubaker and related polynomials, as well as some properties including zero distribution of such kinds of polynomials…”
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Reactivity of Nitroalkyl Anions Addition to Substituted Benzylidenecyanoacetates: Electrophilicity Parameters and Free Energy Relationships
Published in International journal of chemical kinetics (01-12-2017)“…ABSTRACT The kinetics of the reactions of benzylidenecyanoacetates 1a–d (X = H, Me, OMe, and NMe2) with nitroalkyl anions 2a–c have been studied in aqueous…”
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15
Direct Method for Variational Problems Using Boubaker Wavelets
Published in Ibn Al-Haitham Journal for Pure and Applied Sciences (20-07-2023)“… Recently, in 2021, the wavelet Boubaker (WB) polynomials were used for the first time to study their properties and applications in detail…”
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The stability of the Boubaker polynomials expansion scheme (BPES)-based solution to Lotka–Volterra problem
Published in Journal of theoretical biology (21-02-2011)“…–prey problem using Boubaker polynomial expansion scheme. Journal of Theoretical Biology 264, 154–160…”
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17
On the restricted Chebyshev-Boubaker polynomials
Published in Integral transforms and special functions (04-03-2017)“…Using the language of Riordan arrays, we study a one-parameter family of orthogonal polynomials that we call the restricted Chebyshev-Boubaker polynomials…”
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A new operational matrix based on Boubaker wavelet for solving optimal control problems of arbitrary order
Published in Transactions of the Institute of Measurement and Control (01-06-2020)“… First, we have constructed Boubaker wavelet for the first time and defined a general formulation for its fractional derivative operational matrix…”
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Quantification of the Nucleophilicities of 3-X-Thiophenes: Highlighting the Hyperortho Correlation
Published in Journal of chemistry (2020)“…Kinetics studies for the coupling reactions of the 3-X-thiophene 1a-c (X = CH3, H and Br) with the electrophiles 2a and 3a-c have been investigated in…”
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Reactions of N1‐Methyl‐4‐nitro‐2,1,3‐benzoselenadiazolium Tetrafluoroborate with Aliphatic and Cyclic Amines in Acetonitrile: Kinetic and Structure‐Reactivity Correlations
Published in International journal of chemical kinetics (01-08-2017)“…ABSTRACT The nucleophilic addition reactions of N1‐methyl‐4‐nitro‐2,1,3‐benzoselenadiazolium tetrafluoroborate 1 with aliphatic amines 2a–c (diethylamine 2a,…”
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