Browsing by Author "Sayevand, K."

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Citation - WoS: 4
Citation - Scopus: 5
Development of a Multi Convergence-Controller Parametric Perturbation Approach for Some Linear and Nonlinear Integral Equations
(Editura Acad Romane, 2015) Sayevand, K.; Baleanu, Dumitru; Baleanu, Dumitru; Fardi, M.; Matematik
In this article, some integral equations that have been appeared in the study of physical phenomena are investigated by using the unique properties of the extended homotopy analysis method. In other words, the traditional homotopy analysis method is extended to a multi-parametric approach. Also, convergence-controller parameters are introduced to approximate the solutions of such linear and nonlinear integral equations. In this framework, the convergence of the proposed strategies is investigated. Several numerical examples are presented to illustrate the accuracy and effectiveness of the proposed approaches. The obtained results and comparison with other methods provide confirmation for the validity of our numerical schemes.
Citation - WoS: 9
Citation - Scopus: 11
A New Glance on the Leibniz Rule for Fractional Derivatives
(Elsevier Science Bv, 2018) Machado, J. Tenreiro; Baleanu, D.; Sayevand, K.
This paper proposes a new strategy to study some useful properties of growth rates of functions in C-alpha is an element of R spaces in order to analyze the Leibniz rule for fractional derivatives. The differential operators are taken in the Riemann-Liouville sense. Moreover, stability analysis of the proposed strategy is investigated. The results demonstrate that the proposed theoretical analysis is accurate. (C) 2018 Elsevier B.V. All rights reserved.