Fractional Calculus involving (p,q)-Mathieu Type Series

Autores: Daljeet Kaur, Praveen Agarwal, Madhuchanda Rakshi, Mehar Chand
Localización: Applied Mathematics and Nonlinear Sciences, ISSN-e 2444-8656, Vol. 5, Nº. 2, 2020, págs. 15-34
Idioma: inglés
DOI: 10.2478/amns.2020.2.00011
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Resumen
- Aim of the present paper is to establish fractional integral formulas by using fractional calculus operators involving the generalized (p,q)-Mathieu type series. Then, their composition formulas by using the integral transforms are introduced.
  
  Further, a new generalized form of the fractional kinetic equation involving the series is also developed. The solutions of fractional kinetic equations are presented in terms of the Mittag-Leffler function. The results established here are quite general in nature and capable of yielding both known and new results