Browsing by Author "Ben Makhlouf, Abdellatif"

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Citation - WoS: 14
Citation - Scopus: 16
Analysis and Numerical Solution of the Generalized Proportional Fractional Cauchy Problem
(Elsevier, 2021) Baleanu, D.; Makhlouf, Abdellatif Ben; Nagy, A. M.; Boucenna, Djalal; Ben Makhlouf, Abdellatif
In this paper, we explore the existence and uniqueness theorem for a problem of the fractional Cauchy form, with dependence on the generalized proportional Caputo derivative. Furthermore, a new numerical technique is presented based on a decomposition formula for the generalized proportional Caputo derivative. Convergence analysis of the proposed technique is proved. Finally, numerical results are obtained to confirm the validity of the proposed method. (C) 2021 IMACS. Published by Elsevier reserved.
Citation - WoS: 25
Citation - Scopus: 27
Finite Time Stability of Fractional Order Systems of Neutral Type
(Mdpi, 2022) Baleanu, Dumitru; Ben Makhlouf, Abdellatif
This work deals with a new finite time stability (FTS) of neutral fractional order systems with time delay (NFOTSs). In light of this, FTSs of NFOTSs are demonstrated in the literature using the Gronwall inequality. The innovative aspect of our proposed study is the application of fixed point theory to show the FTS of NFOTSs. Finally, using two examples, the theoretical contributions are confirmed and substantiated.
Citation - WoS: 16
Citation - Scopus: 19
Finite-Time Stability of Linear Stochastic Fractional-Order Systems With Time Delay
(Springer, 2021) Ben Makhlouf, Abdellatif; Baleanu, Dumitru; Rhaima, Mohamed; Mchiri, Lassaad
This paper focuses on the finite-time stability of linear stochastic fractional-order systems with time delay for alpha is an element of (1/2, 1). Under the generalized Gronwall inequality and stochastic analysis techniques, the finite-time stability of the solution for linear stochastic fractional-order systems with time delay is investigated. We give two illustrative examples to show the interest of the main results.
Citation - WoS: 10
Citation - Scopus: 10
Henry-Gronwall Typeq-Fractional Integral Inequalities
(Wiley, 2021) Kharrat, Mohamed; Hammami, Mohamed Ali; Baleanu, Dumitru; Ben Makhlouf, Abdellatif
The study ofq-difference equations has gained intensive interest in the last years. It has been shown that these types of equations have numerous applications in diverse fields and thus have evolved into multidisciplinary subjects. In this paper, theq-fractional integral inequalities of Henry-Gronwall type are presented. By using inequality technique related to the quantum calculus, such integral inequalities are suggested. Furthermore, an applications toq-fractional integral equations is also given.