Generalized Differential Transform Method – Application to Integral Equations of Fractional Order

Jump To References Section

Authors

  • Department of Mathematics, Swami Vivekananda University, Barrackpore 700121, West Bengal, India. ,IN
  • Department of Mathematics, Swami Vivekananda University, Barrackpore 700121, West Bengal, India. ,IN
  • School of Science and Technology, The Neotia University, Diamond Harbour 743368, West Bengal, India. ,IN

DOI:

https://doi.org/10.18311/jmmf/2023/34153

Keywords:

Abel Integral Equation, Differential Transform Method, Generalized Differential Transform Method, Caputo Sense.

Abstract

In this paper, we have used gener-alized differential transform method to solve different types of integral equations of fractional order. All the fractional integrals are written in the Riemann-Liouville sense and fractional derivatives are written in the Caputo sense.

Downloads

Download data is not yet available.

Metrics

Metrics Loading ...

Downloads

Published

2023-07-04

How to Cite

Mondal, S., Biswas, A., & Chatterjee, A. (2023). Generalized Differential Transform Method – Application to Integral Equations of Fractional Order. Journal of Mines, Metals and Fuels, 71(5), 578–582. https://doi.org/10.18311/jmmf/2023/34153

Issue

Section

Articles

 

References

S.A. Yousefi, (2006): Numerical solution of Abels integral equation by using Legendre wavelets, Appl. Math. Comp. 175 (2006) 574-580.

Y. Liu, L. Tao, (2007): Mechanical quadrature methods and their extrapolation for solving first kind Abel integral equations, Jour. Comput. Appl. Math. 201 (2007) 300-313 .

S. Dixit, R. K. Pandey, S. Kumar, O.P. Singh, (2011): Solution of the Generalized Abel Integral Equation by using Almost Bernstein Operational Matrix, American Jour. Comput. Math.1 (2011) 226-234.

R. K. Pandey, S. Sharma, K. Kumar, (2016): Collocation method for Generalized Abel’s Integral Equations, Jour. Comput. Appl. Math. 302 (2016) 118-128.

M. Caputo, (1967): Linear models of dissipation whose Q is almost frequency independent, Part II. J Roy Austral Soc 13 (1967) 529-539.

Z. Odibat, S.Momani, V.S. Erturk, (2008): Generalized differential transform method: Application to differential equations of fractional order, Appl. Math. Comput. 197 (2008) 467-477.