On generalized fractional kinetic equations involving generalized Lommel-Wright functions

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• 作者：Krunal B. Kachhia^a ; ^{krunalmaths@hotmail.com" class="auth_mail" title="E-mail the corresponding author} ; Jyotindra C. Prajapati^b ; ^{jyotindra18@rediffmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Fractional kinetic equation ; Laplace transforms ; Mittag&ndash ; Leffler function ; Generalized Lommel-Wright function ; Fractional calculus
• 刊名：Alexandria Engineering Journal
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：55
• 期：3
• 页码：2953-2957
• 全文大小：392 K

文摘

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.