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Browsing by Author "Khan, Nabiullah"

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    Citation - WoS: 16
    Citation - Scopus: 20
    Computable Solution of Fractional Kinetic Equations Using Mathieu-Type Series
    (Springer, 2019) Khan, Nabiullah; Baleanu, Dumitru; Nisar, Kottakkaran Sooppy; Khan, Owais; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    The Mathieu series appeared in the study of elasticity of solid bodies in the work of Emile Leonard Mathieu. Since then numerous authors have studied various problems arising from the Mathieu series in several diverse ways. In this line, our aim is to study the solution of fractional kinetic equations involving generalized Mathieu-type series. The generality of this series will help us to deduce results related to a fractional kinetic equation involving another form of Mathieu series. To obtain the solution, we use the Laplace transform technique. Besides, a graphical representation is given to observe the behavior of the obtained solutions.
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    Citation - WoS: 3
    Citation - Scopus: 5
    Fractional Calculus of a Product of Multivariable Srivastava Polynomial and Multi-Index Bessel Function in the Kernel F3
    (Amer inst Mathematical Sciences-aims, 2020) Khan, Nabiullah; Nisar, Kottakkaran Sooppy; Saif, Mohd; Baleanu, Dumitru; Khan, Owais; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    In this article our main object to compute image formulas of generalized fractional hypergeometric operators, involving the product of multivariable Srivastava polynomial and multi-index Bessel function. The results obtained provide unification and an extension of known results given earlier by Agarwal and Nieto [1], Agarwal et al. [2] Mishra et al. [18], Saxena and Saigo [26], Suthar et al. [32]. We also consider certain special cases of derived results by specializing suitable value of the parameters.