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Browsing Matematik Bölümü Yayın Koleksiyonu by Author

Browsing Matematik Bölümü Yayın Koleksiyonu by Author "Saad, Khaled M."

Now showing items 1-7 of 7

A spectral collocation method for fractional chemical clock reactions

Khader, Mohamed M.; Saad, Khaled M.; Baleanu, Dumitru; Kumar, Sunil (2020-12)

We implement an efficient computational scheme to study the effect of precursor consumption on chemical clock reactions. The proposed model is formulated as a system of FDEs with power kernel. This paper considers the ...
A spectral collocation method for solving fractional KdV and KdV-Burgers equations with non-singular kernel derivatives

Khader, M. M.; Saad, Khaled M.; Hammouch, Zakia; Baleanu, Dumitru (2021-03)

The purpose of this paper is to investigate the spectral collocation method with help of Chebyshev polynomials. We consider the space fractional Korteweg-de Vries and the space fractional Korteweg-de Vries-Burgers equations ...
New Fractional Derivatives Applied to the Korteweg-De Vries and Korteweg-De Vries-Burger's Equations

Saad, Khaled M.; Baleanu, Dumitru; Atangana, Abdon (Springer Heidelberg, 2018-09)

In this paper, we extend the model of the Korteweg-de Vries (KDV) and Korteweg-de Vries-Burger's (KDVB) to new model time fractional Korteweg-de Vries (TFKDV) and time fractional Korteweg-de Vries-Burger's (TFKDVB) with ...
New Fractional Derivatives With Non-Singular Kernel Applied to the Burgers Equation

Saad, Khaled M.; Atangana, Abdon; Baleanu, Dumitru (Amer Inst Physics, 2018-06)

In this paper, we extend the model of the Burgers (B) to the new model of time fractional Burgers (TFB) based on Liouville-Caputo (LC), Caputo-Fabrizio (CF), and Mittag-Leffler (ML) fractional time derivatives, respectively. ...
Numerical solutions of fractional parabolic equations with generalized Mittag–Leffler kernels

Alomari, Abedel-Karrem; Abdeljawad, Thabet; Baleanu, Dumitru; Saad, Khaled M.; Al-Mdallal, Qasem M. (2020)

In this article, we investigate the generalized fractional operator Caputo type (ABC) with kernels of Mittag–Lefller in three parameters Eα,µγ(λ,t) and its fractional integrals with arbitrary order for solving the time ...
On a new modified fractional analysis of Nagumo equation

Saad, Khaled M.; Deniz, Sinan; Baleanu, Dumitru (World Scientific Publ CO PTE LTD, 2019-04)

In this work, a new modified fractional form of the Nagumo equation has been presented and deeply analyzed. Using the Caputo-Fabrizio and Atangana-Baleanu time-fractional derivatives, classical Nagumo model is transformed ...
Quadratic and cubic logistic models involving Caputo-Fabrizio operator

Al Fahel, Sara; Baleanu, Dumitru; Al-Mdallal, Qasem M.; Saad, Khaled M. (2023-11)

In this paper, we numerically investigate the fractional quadratic and cubic logistic models involving the Caputo-Fabrizio operator. We construct the successive iterations using the theory of fractional calculus and Lagrange ...

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Browsing Matematik Bölümü Yayın Koleksiyonu by Author "Saad, Khaled M."

Browsing Matematik Bölümü Yayın Koleksiyonu by Author "Saad, Khaled M."

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