Bilgilendirme: Sürüm Güncellemesi ve versiyon yükseltmesi nedeniyle, geçici süreyle zaman zaman kesintiler yaşanabilir ve veri içeriğinde değişkenlikler gözlemlenebilir. Göstereceğiniz anlayış için teşekkür ederiz.

Browsing by Author "Al Qurashi, M."

Filter results by typing the first few letters
Now showing 1 - 2 of 2
  • Thumbnail Image
    Article
    Citation - WoS: 74
    Citation - Scopus: 102
    A Chebyshev Spectral Method Based on Operational Matrix for Fractional Differential Equations Involving Non-Singular Mittag-Leffler Kernel
    (Springer, 2018) Shiri, B.; Srivastava, H. M.; Al Qurashi, M.; Baleanu, D.; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    In this paper, we solve a system of fractional differential equations within a fractional derivative involving the Mittag-Leffler kernel by using the spectral methods. We apply the Chebyshev polynomials as a base and obtain the necessary operational matrix of fractional integral using the Clenshaw-Curtis formula. By applying the operational matrix, we obtain a system of linear algebraic equations. The approximate solution is computed by solving this system. The regularity of the solution investigated and a convergence analysis is provided. Numerical examples are provided to show the effectiveness and efficiency of the method.
  • Thumbnail Image
    Article
    Citation - WoS: 19
    Citation - Scopus: 22
    Generalized K-Mittag Function and Its Composition With Pathway Integral Operators
    (int Scientific Research Publications, 2016) Purohit, S. D.; Abouzaid, M. S.; Al Qurashi, M.; Baleanu, D.; Nisar, K. S.; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    Our purpose in this paper is to consider a more generalized form of the Mittag-Leffler function. For this newly defined function, we obtain certain composition formulas with pathway fractional integral operators. We also point out some important special cases of the main results. (C) 2016 All rights reserved.