On generalized fractional kinetic equations involving generalized Lommel-Wright functions

Alexandria Engineering Journal

Krunal B. Kachhia¹  Jyotindra C. Prajapati² 

[1] Department of Mathematical Sciences, Faculty of Applied Sciences, Charotar University of Science and Technology (CHARUSAT), Changa, Anand 388421, Gujarat, India;Department of Mathematics, Marwadi University, Rajkot-Morbi Highway, Rajkot 360003, Gujarat, India;

关键词: Fractional kinetic equation;    Laplace transforms;    Mittag–Leffler function;    Generalized Lommel-Wright function;    Fractional calculus;   

DOI  :  10.1016/j.aej.2016.04.038

来源: DOAJ

【 摘 要 】

Fractional kinetic equations play an important role in certain astrophysical problems. In this paper, authors have established further generalization of fractional kinetic equations involving generalized Lommel-Wright functions. Solutions of these generalized fractional kinetic equations were obtained in terms of Mittag–Leffler function using Laplace transform. Some special cases also contain the generalized Bessel function and Struve function.

【 授权许可】

Unknown