Yazar "Zafar, Azhar Ali" seçeneğine göre listele

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    Öğe
    Numerical study of a nonlinear fractional chaotic Chua's circuit
    (Amer Inst Mathematical Sciences-Aims, 2023) Shah, Nehad Ali; Ahmed, Iftikhar; Asogwa, Kanayo K.; Zafar, Azhar Ali; Weera, Wajaree; Akgul, Ali
    As an exponentially growing sensitivity to modest perturbations, chaos is pervasive in nature. Chaos is expected to provide a variety of functional purposes in both technological and biological systems. This work applies the time-fractional Caputo and Caputo-Fabrizio fractional derivatives to the Chua type nonlinear chaotic systems. A numerical analysis of the mathematical models is used to compare the chaotic behavior of systems with differential operators of integer order versus systems with fractional differential operators. Even though the chaotic behavior of the classical Chua's circuit has been extensively investigated, our generalization can highlight new aspects of system behavior and the effects of memory on the evolution of the chaotic generalized circuit.
  • [ X ]
    Öğe
    Unsteady MHD flow of Maxwell fluid with Caputo-Fabrizio non-integer derivative model having slip/non-slip fluid flow and Newtonian heating at the boundary
    (Indian Assoc Cultivation Science, 2022) Ghalib, Muhammad Mansha; Zafar, Azhar Ali; Farman, Muhammad; Akgul, Ali; Ahmad, M. O.; Ahmad, Aqeel
    The purpose of this manuscript is to investigate the unsteady magnetohydrodynamics flow of a Maxwell fluid with conjugate effects of heat and mass transfer under the slip and non-slip conditions at the boundary. Moreover, we apply the Caputo-Fabrizio fractional derivative to model the proposed problem. We consider the fluid in a porous medium over a vertical plate with ramped temperature. We take into consideration the influence of thermal radiation in the energy equations. We solve the governing equations by Laplace transform technique, and we use the Stehfest's algorithm to find the inverse Laplace transform. Hence, we obtain the semianalytical solutions for temperature, concentration and velocity in case of ramped temperature as well as for both slip and non-slip conditions and general motion of the plate. We demonstrate the numerical results by some figures.