Operational Calculus for Bessel’s Fractional Equation

  • M. M. RodriguesEmail author
  • N. Vieira
  • S. Yakubovich
Conference paper
Part of the Operator Theory: Advances and Applications book series (OT, volume 229)


This paper is intended to investigate a fractional differential Bessel’s equation of order 2α with \( \alpha \in]0,1] \) involving the Riemann–Liouville derivative. We seek a possible solution in terms of power series by using operational approach for the Laplace and Mellin transform. A recurrence relation for coefficients is obtained. The existence and uniqueness of solutions is discussed via Banach fixed point theorem.


Fractional differential equations Riemann Liouville derivative Mellin transform Laplace transform Bessel equation. 


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© Springer Basel 2013

Authors and Affiliations

  1. 1.Center for Research and Development in Mathematics and Applications Department of MathematicsUniversity of Aveiro Campus Universitário de SantiagoAveiroPortugal
  2. 2.Center of Mathematics of University of Porto Faculty of ScienceUniversity of PortoPortoPortugal
  3. 3.Department of Mathematics, Faculty of ScienceUniversity of PortoPortoPortugal

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