Yazar "Belhamiti, Meriem Mansouria" seçeneğine göre listele

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    On a fractional problem of Lane-Emden type: Ulam type stabilities and numerical behaviors
    (Springer, 2021) Tablennehas, Kamel; Dahmani, Zoubir; Belhamiti, Meriem Mansouria; Abdelnebi, Amira; Sarikaya, Mehmet Zeki
    In this work, we study some types of Ulam stability for a nonlinear fractional differential equation of Lane-Emden type with anti periodic conditions. Then, by using a numerical approach for the Caputo derivative, we investigate behaviors of the considered problem.
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    A three fractional order jerk equation with anti periodic conditions
    (Univ Nis, 2023) Dahmani, Zoubir; Belhamiti, Meriem Mansouria; Sarikaya, Mehmed Zeki
    We study a new Jerk equation involving three fractional derivatives and anti periodic conditions. By Banach contraction principle, we present an existence and uniqueness result for the considered problem. Utilizing Krasnoselskii fixed point theorem we prove another existence result governing at least one solution. We provide an illustrative example to claim our established results. At the end, an approximation for Caputo derivative is proposed and some chaotic behaviours are discussed by means of the Runge Kutta 4th order method.
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    Two fractional order Langevin equation with new chaotic dynamics
    (Ankara Univ, Fac Sci, 2023) Belhamiti, Meriem Mansouria; Dahmani, Zoubir; Sarikaya, Mehmet Zeki
    In the present paper, we introduce a two-order nonlinear fractional sequential Langevin equation using the derivatives of Atangana-Baleanu and Caputo-Fabrizio. The existence of solutions is proven using a fixed point theo-rem under a weak topology, and an illustrative example is then given. Further-more, we present new fractional versions of the Adams-Bashforth three-step approach for the Atangana-Baleanu and Caputo derivatives. New nonlinear chaotic dynamics are performed by numerical simulations.
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    Uniqueness of solutions, stability and simulations for a differential problem involving convergent series and time variable singularities
    (Rocky Mt Math Consortium, 2023) Gouari, Yazid; Dahmani, Zoubir; Belhamiti, Meriem Mansouria; Sarikaya, Mehmet Zeki
    We study a new problem of nonlinear integrodifferential equations with nonlocal integral conditions. The considered problem is singular at the origin of the time axis and it involves convergent series combined with Riemann-Liouville integrals. We prove an existence and uniqueness result for our problem. Some examples are given to illustrate the uniqueness result. The Ulam-Hyers stability for the problem is also studied. Then, thanks to some numerical techniques, that allow us to approximate the Caputo derivatives, and by using the Runge-Kutta method, we present a numerical study with some simulations to show more comprehension of the proposed examples.