WoS İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653
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Article Citation - WoS: 16Citation - Scopus: 17Quadratic and Cubic Logistic Models Involving Caputo-Fabrizio Operator(Springer Heidelberg, 2023) Baleanu, Dumitru; Al-Mdallal, Qasem M.; Saad, Khaled M.; Al Fahel, SaraIn 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 polynomials. Then, we handled the exact solutions of these models. The validity of the accuracy and efficiency will be satisfied through some numerical results.Article Citation - WoS: 22Citation - Scopus: 23A Spectral Collocation Method for Fractional Chemical Clock Reactions(Springer Heidelberg, 2020) Saad, Khaled M.; Baleanu, Dumitru; Kumar, Sunil; Khader, Mohamed M.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 fractional derivatives of Liouville-Caputo (LC). We use the spectral collocation method (SCM) with the help of the third-kind Chebyshev polynomials. This scheme generates the fast convergent series solutions with conveniently determinable coefficients. We compute the residual error function (REF) to satisfy the accuracy of the introduced technique. This approach is an easy and efficient tool for implementing the study of such these models. We introduce a comparison between the obtained approximate solutions and those which occurred using a previously published method and excellent agreement is reported.