Browsing by Author "Hammouch, Z."

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Citation - WoS: 8
Citation - Scopus: 8
A novel fractional piecewise linear map: regular and chaotic dynamics
(Taylor & Francis Ltd, 2021) Bououden, R.; Abdelouahab, M. S.; Jarad, F.; Hammouch, Z.; 234808; Matematik
In this paper, a new piecewise linear map of the plan and its fractional version deduced from the Lozi map is introduced and analysed. The main attention is paid to the study of fixed points and their stability, cycles of period two and their stability regions and the type of bifurcation that occur in the dynamical behaviours of this map. The routes to chaos and some chaotic attractors that exist in the behaviour of the integer map are discussed. Finally, the chaotic behaviour of the associated proposed fractional map is analysed by means of bifurcations diagrams.
Citation - Scopus: 3
A special issue:Recent developments in nonlinear partial differential equations
(Erdal Karapinar, 2020) Abdeljawad, T.; Al-Mdallal, Q.M.; Hammouch, Z.; Jarad, F.; F.; Matematik
Recent advances in special functions, fractional operators and their real world applications
(Cambridge Scientific Publishers, 2021) Singh, J.; Baleanu, D.; Kumar, D.; Hammouch, Z.; 56389; Matematik
This special issue ”Recent Advances in Special Functions, Fractional Operators and their Real World Applications” of the journal Mathematics in Engineering, Science and Aerospace (MESA) is mainly collection of the research articles presented in 3rd International Conference on Mathematical Mod-elling, Applied Analysis and Computation (ICMMAAC-20) organized by the Department of Mathe-matics, JECRC University, Jaipur, India during August 7-9, 2020. This collection of articles is mainly concerned to address a wide range of special functions, operators of fractional order and their uses in mathematical modelling and computation of distinct problems of physical sciences, chemical sci-ences, biological sciences, engineering sciences, social science and economics. In the this special is-sue, expository and original research papers associated with the new trends and challenges in special functions and fractional order calculus and as well as their uses in real world problems are collected. Some are invited papers. © CSP - Cambridge, UK; I&S - Florida, USA, 2021
Citation - WoS: 37
Citation - Scopus: 43
Traveling wave with beta derivative spatial-temporal evolution for describing the nonlinear directional couplers with metamaterials via two distinct methods
(Elsevier, 2021) Uddin, M. F.; Hafez, M. G.; Hammouch, Z.; Rezazadeh, H.; Baleanu, D.; 56389; Matematik
This work is reported the analytical solutions for describing the nonlinear directional couplers with metamaterials by including spatial-temporal fractional beta derivative evolution. The auxiliary ordinary differential equation method and the generalized Riccati method with the properties of beta derivative are implemented to secure such solutions. The solutions are obtained in the new forms by involving of some useful mathematical functions. The constraint conditions among the traveling wave parameters are evaluated. Some of the obtained solutions are presented graphically to illustrate the effectiveness of beta derivative parameter and mathematical techniques. It is investigated that the amplitudes of soliton are increased with the increase of fractional beta derivative parameter. The obtained results would be very useful to examine and understand the physical issues in nonlinear optics, especially in twin-core couplers with optical metamaterials. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.