A New Operational Method for Solving Nonlinear Volterra Integro-differential Equations with Fractional Order

Authors

  • M. Mohseni Moghadam Center of Excellence of Linear Algebra and Optimization, Shahid Bahonar University of Kerman, Kerman 76169-14111, Iran
  • H. Saeedi Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
  • N. Mollahasani Mahani Mathematical Research Center, Shahid Bahonar University of Kerman, Kerman, Iran

DOI:

https://doi.org/10.26713/jims.v2i2%20&%203.30

Keywords:

Fractional calculus, Integro-differential equation, Operational method, Taylor series

Abstract

In this paper we introduce a new operational method, which is based on the generalized Taylor formula and Caputo fractional derivative. We employ this method to solve a fractional Volterra integro-differential equation with supplementary conditions. Some examples are included to demonstrate the validity and applicability of the technique. Numerical results confirm the efficiency of the method.

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Issue

Vol. 2 No. 2 & 3 (2010)

Section

Research Article

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How to Cite

Moghadam, M. M., Saeedi, H., & Mollahasani, N. (2010). A New Operational Method for Solving Nonlinear Volterra Integro-differential Equations with Fractional Order. Journal of Informatics and Mathematical Sciences, 2(2 & 3), 95-107. https://doi.org/10.26713/jims.v2i2 & 3.30