Matematik Bölümü Yayın Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413

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Access Right: Open AccessAuthor: search.filters.author.Alsaedi, Ahmed

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Now showing 1 - 5 of 5
  • Article
    Citation - WoS: 103
    Citation - Scopus: 114
    On Coupled Systems of Time-Fractional Differential Problems by Using a New Fractional Derivative
    (Hindawi Ltd, 2016) Baleanu, Dumitru; Etemad, Sina; Rezapour, Shahram; Alsaedi, Ahmed
    The existence of solutions for a coupled system of time-fractional differential equations including continuous functions and the Caputo-Fabrizio fractional derivative is examined. After that we investigated a coupled system of time-fractional differential inclusions including compact-and convex-valued L-1-Caratheodory multifunctions and the Caputo-Fabrizio fractional derivative.
  • Article
    Citation - WoS: 257
    Analysis of Time-Fractional Hunter-Saxton Equation: a Model of Neumatic Liquid Crystal
    (Sciendo, 2016) Baleanu, Dumitru; Alsaedi, Ahmed; Atangana, Abdon
    In this work, a theoretical study of diffusion of neumatic liquid crystals was done using the concept of fractional order derivative. This version of fractional derivative is very easy to handle and obey to almost all the properties satisfied by the conventional Newtonian concept of derivative. The mathematical equation underpinning this physical phenomenon was solved analytically via the so-called homotopy decomposition method. In order to show the accuracy of this iteration method, we constructed a Hilbert space in which we proved its stability for the time-fractional Hunder-Saxton equation.
  • Article
    Citation - WoS: 443
    New Properties of Conformable Derivative
    (de Gruyter Poland Sp Zoo, 2015) Baleanu, Dumitru; Alsaedi, Ahmed; Atangana, Abdon
    Recently, the conformable derivative and its properties have been introduced. In this work we have investigated in more detail some new properties of this derivative and we have proved some useful related theorems. Also, some new definitions have been introduced.
  • Article
    On coupled systems of time-fractional differential problems by using a new fractional derivative
    (Hindawi Publishing Corporation, 2016) Alsaedi, Ahmed; Baleanu, Dumitru; Etemad, Sina; Rezapour, Shahram
    The existence of solutions for a coupled system of time-fractional differential equations including continuous functions and the Caputo-Fabrizio fractional derivative is examined. After that we investigated a coupled system of time-fractional differential inclusions including compact-and convex-valued L-1-Caratheodory multifunctions and the Caputo-Fabrizio fractional derivative.
  • Article
    Citation - WoS: 29
    Citation - Scopus: 31
    On a Time-Fractional Integrodifferential Equation Via Three-Point Boundary Value Conditions
    (Hindawi Ltd, 2015) Rezapour, Shahram; Etemad, Sina; Alsaedi, Ahmed; Baleanu, Dumitru
    The existence and the uniqueness theorems play a crucial role prior to finding the numerical solutions of the fractional differential equations describing the models corresponding to the real world applications. In this paper, we study the existence of solutions for a time-fractional integrodifferential equation via three-point boundary value conditions.